Answer:
(x-5)(x+4)
Step-by-step explanation:
hope it helps
Identify the glide reflection rule in the given figure
Answer:
Option (3)
Step-by-step explanation:
Glide reflection of a figure is defined by the translation and reflection across a line.
To understand the glide rule in the figure attached we will take a point A.
Coordinates of the points A and A' are (2, -1) and (-2, 4).
Translation of pint A by 5 units upwards,
Rule to be followed,
A(x, y) → A"[x, (y + 5)]
A(2, -1) → A"(2, 4)
Followed by the reflection across y-axis,
Rule to be followed,
A"(x, y) → A'(-x, y)
A"(2, 4) → A'(-2, 4)
Therefore, by combining these rules in this glide reflections of point A we get the coordinates of the point point A'.
Option (3) will be the answer.
Answer:Reflection along the line y= -1
Step-by-step explanation:
took test
can someone please help me with this
Hope you understand :)
Answer:
DF = 3.0
<E = 31°
<F = 59°
Step-by-step explanation:
1. Use the Pythagorean Theorem to find side DF.
a² + b² = c²
5² + b² = 5.83²
25 + b² = 33.9889
b² = 8.9889
b = √8.9889
b = 2.998149429
b = 3.0
Side DF is equal to 3.0.
2. Use SOHCAHTOA to find the measure of <E. We know two sides: adjacent (5) and hypotenuse (5.83). So, we will use cosine.
Cosine = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{5}{5.83}[/tex] = 0.8576329331
Take the inverse cosine to find <E in degrees.
cos⁻¹ (0.8576329331) = 30.95 = 31°
<E is equal to 31°.
3. Add the two angles and subtract from 180° or use SOHCAHTOA to find the measure of <F.
90° + 31° + x = 180°
121° + x = 180°
x = 59°
or
We know two sides: adjacent (3.0) and hypotenuse (5.83). So, we will use cosine.
Cosine = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{3.0}{5.83}[/tex] = 0.5145797599
Take the inverse cosine.
cos⁻¹(0.5145797599) = 59.03063031 = 59°
<F is equal to 59°.
Hope that helps. :)
My soccer team has 16 players. I have to choose a starting lineup of a goalie and 10 regular players (the regular players are interchangeable). How many different starting lineups can i choose? *the answer is not 4368*
Answer:
3003
Step-by-step explanation:
We want to find out how many ways we can choose 10 players among 15 players (since the goalie is not interchangeable)
The number of different lineups you can have can be found by using combination:
[tex]^{15}C_{10} = \frac{15!}{(15 - 10)! 10!}\\ \\= \frac{15!}{5! * 10!} \\\\= 3003[/tex]
There are 3003 different lineups that can be chosen.
Do Audience Ratings Differ Based on the Genre of the Movie? The dataset HollywoodMovies includes a quantitative variable on the Audience-Score of the movie as well as a categorical variable classifying each movie by its Genre. The computer output above gives summary statistics for audience ratings based on genre for a sample of the movies, using four of the possible genres. Variable Genre N Mean StDev Minimum Qi Median Q3 Maximum Audience Score Action 32 58.63 18.39 32.00 44.50 51.00 78.00 93.00 Comedy 27 59.11 15.68 31.00 48.00 58.00 71.00 93.00 Drama 21 72.10 14.55 46.00 59.00 72.00 84.50 91.00 Horror 17 48.65 15.88 25.00 34.00 52.00 60.50 78.00 (a) Which genre has the highest mean audience score? The lowest mean audience score? (b) Which genre has the highest median score? The lowest median score? (c) In which genre is the lowest score, and what is that score? In which genre is the highest score, and what is that score? (d) Which genre has the largest number of movies in that category? (e) Calculate the difference in mean score between comedies and horror movies, and give notation with your answer, using i, for the mean comedy score and , for the mean horror score.
Answer:
Step-by-step explanation:
Hello!
(a) Which genre has the highest mean audience score? The lowest mean audience score?
1) Action [tex]\frac{}{X}_1[/tex]= 58.63
2) Comedy [tex]\frac{}{X}_2[/tex]= 59.11
3) Drama [tex]\frac{}{X} _3[/tex] = 72.10
4) Horror [tex]\frac{}{X}_4[/tex]= 48.65
The lowest mean score is [tex]\frac{}{X}_4[/tex]= 48.65
The highest mean score is [tex]\frac{}{X} _3[/tex] = 72.10
(b) Which genre has the highest median score? The lowest median score?
1) Action Me₁= 51.00
2) Comedy Me₂= 58.00
3) Drama Me₃= 72.00
4) Horror Me₄= 52.00
The Lowest median is Me₁= 51.00
The Highest median is Me₃= 72.00
(c) In which genre is the lowest score, and what is that score? In which genre is the highest score, and what is that score?
Lowest or minimum scores:
1) Action 32.00
2) Comedy 31.00
3) Drama 46.00
4) Horror 25.00
The genre with the lowest score is "Comedy"
Highest or maximum scores:
1) Action 93.00
2) Comedy 93.00
3) Drama 91.00
4) Horror 78.00
There are two genres with the highest score "Action" and "Comedy"
(d) Which genre has the largest number of movies in that category?
The number of movies for each category corresponds to the sample sizes:
1) Action n₁= 32
2) Comedy n₂= 27
3) Drama n₃= 21
4) Horror n₄= 17
The largest number of movies sampled was for the genre "Action"
(e) Calculate the difference in mean score between comedies and horror movies, and give notation with your answer, using i, for the mean comedy score and, for the mean horror score.
Comedy [tex]\frac{}{X}_C[/tex]= 59.11
Horror [tex]\frac{}{X}_H[/tex]= 48.65
[tex]\frac{}{X}_C[/tex] - [tex]\frac{}{X}_H[/tex]= 59.11 - 48.65= 10.46
I hope this helps!
HELP lol thankssssss
Answer:
8 : 1
Step-by-step explanation:
Consider the points on the line relating raspberry juice to lemon- lime soda
That is
raspberry juice lemon- lime sode
8 1
16 2
24 3
32 4
These values are all in the ratio of 8 : 1
Answer:
8:1
Step-by-step explanation:
i just know
Suppose that a high school marching band has 97 members. Of these 97 band members, 31 are seniors, 18 play the trumpet, and 6 are seniors who play the trumpet.What is the probability that a randomly selected band member is a senior given that he or she plays the trumpet? Give your answer as a percentage, rounded to one decimal place.___%What is the probability that a randomly selected band member plays the trumpet given that he or she is a senior?___%
Answer:
Step-by-step explanation:
33.3%
19.4%
5x + 7y = -29, y = x + 1
Answer:d
Step-by-step explanation:
Which of the following is the graph of (x + 1)2 + (y − 6)2 = 36?
Answer:
Step-by-step explanation:
Slope:
− 1
y-intercept:
23
About 2% of the population has a particular genetic mutation. 1000 people are randomly selected. Find the mean for the number of people with the genetic mutation in such groups of 10
Answer:
Step-by-step explanation:
We khow that the genetic mutation affect 2 percent of the population .
Let's try to understand what does this mean :
in a group of 100 people there is possibility of finding 2 people with this genetic mutation in a group of 1000 the possibility raises to 20 people so we can deduce that each time we add a zero we add a zero in 2so :
100⇒21000⇒2010000⇒200100000⇒2000and so on
A set of dishes has a list price of $399 with a 15% discount rate. What is the discount amount?
Note: 399 dollar to pound = 263.34 pound
Solution: 15% off 399 is equal to (15 x 15) / 100 = 59.85. So if you buy an item at $399 with 15% discounts, you will pay $339.15 and get 59.85 cashback rewards. hope this helps you
Answer:
The discount is 59.85
Step-by-step explanation:
To find the discount, take the amount and multiply by the discount rate
discount =399 * 15%
= 399 * .15
=59.85
The discount is 59.85
Multiply (4x-3w)(5x-7w)
Answer:
20x² - 43xw + 21w²
Step-by-step explanation:
We use FOIL to expand the expression:
F - First
4x(5x) = 20x²
O - Outside
4x(-7w) = -28xw
I - Inside
-3w(5x) = -15xw
L - Last
-3w(-7w) = 21w²
20x² - 28xw - 15xw + 21w²
Combine like terms and add up using correct signs and you should get your answer.
Answer:
[tex]20 {x}^{2} - 43xw + 21 {w}^{2} [/tex]
solution,
[tex](4x - 3w)(5x - 7w) \\ = 4x(5x - 7w) - 3w(5x - 7w) \\ = 20 {x}^{2} - 28xw - 15xw + 21 {w}^{2} \\ = 20 {x}^{2} - 43xw + 21 {w}^{2} [/tex]
Hope this helps...
Good luck on your assignment..
In 1990, the profit of the Gamma company was $11.900,848. Each year after 1990profits fell by \$48,263 on average Construct a linear model for this scenario and use it to solve for the profits in the year 2020. Round your answer to a whole dollar
Answer:
$10452958
Step-by-step explanation:
Initial profit = $11900848
Fall rate= $48263 per year
Equation:
P(x)= 11900848 - (x-1990)*48263,where P(x)= profit at year of x, and 1990<x<2020
P(2020)= 11900848- 30*48263= $10452958Anybody can help me out?
Answer:
answer D
Step-by-step explanation:
Hello
(fog)(x)=f(g(x))=|4x+9|
so g(x)=4x+9
and f(x)=|x|
hope this helps
Find the value of x if A, B, and C are collinear points and B is between A and C. AB=12,BC=5x−2,AC=3x+20
Answer:
AB=BC
root AB=root BC
root(x2-x1
Applying Angle Pair Relationships
Try it
Z
What is m 22? 75
y
What is mZ1?
1
4
13 16
A
2/3
14 15
5
75°
9 12
6
>
7
w
101 11
What is the measure of angle 1
Answer:
∠2 = 75° because of alternate interior angles. Since ∠1 and ∠2 form a linear pair, they are also supplementary which means that ∠1 = 180 - ∠2 = 180 - 75 = 105°.
The value of angles are,
⇒ ∠1 = 105°
⇒ ∠2 = 75°
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Now, We get;
∠2 = 75°
Because of alternate interior angles.
And, Since ∠1 and ∠2 form a linear pair,
Hence, they are also supplementary which means that;
⇒ ∠1 = 180 - ∠2
⇒ ∠1 = 180 - 75
⇒ ∠1 = 105°
Thus, The value of angles are,
⇒ ∠1 = 105°
⇒ ∠2 = 75°
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If a4=16 and a8=32 and an= 128 for an arithmetic sequence what is the value of n?
Answer:
n = 32
Step-by-step explanation:
an = a1 + (n - 1)d
a4 = a1 + 3d = 16
a8 = a1 + 7d = 32
7d - 3d = 32 - 16
4d = 16
d = 4
a4 = a1 + 3d = 16
a1 + 3(4) = 16
a1 + 12 = 16
a1 = 4
an = 4 + (n - 1)4 = 128
4 + 4n - 4 = 128
4n = 128
n = 32
PLEASE HELP ME!!! FIRST ANSWER GETS BRAINLIEST ANSWER!!!
Jamie wants to know the volume of his gold ring in cubic centimeters. He gets a rectangular glass with a base 3 cm by 2 cm and fills the glass 4 cm high with water. Jamie drops his gold ring in the glass and measures the new height of the water to be 4.25 cm. What is the volume of Jamie's ring in cubic centimeters?
Volume before the gold:
3 x 2 x 4 = 24 cubic cm.
Volume after gold:
3 x 2 x 4.25 = 25.5 cubic cm
Volume of gold is the difference:
25.5 - 24 = 1.5 cubic cm.
John sold a generator and made a profit o $98, which is equal to 4 1/4 percent of the cost price.What was the cost of the Generator?
Divide the profit by the percentage:
98 / 0.0425 = 2305.88
The cost was $2,305.88
cube of a natural number which is a multiple of 3 is also a multiple of 27 true or false
please give the answer fast
Answer:
True
Step-by-step explanation:
The multiple of 3 is the product of 3 with at least a number. Following the law of indices which states that
aⁿ * bⁿ = (ab)ⁿ
Then the cube of 3 and any number which results in a multiple of 3 gives a result that has 3 cube which is 27 as a factor.
Hence the answer is true
If $17,800 is invested at an interest rate of 8% per year, find the value of the investment at the end of 5 years for the following compounding methods, to the nearest cent.
Answer:
7120
Step-by-step explanation:
0.006772 to 1 significant number
Answer:
0.006772
If the last dropping digit is less than 5 then it will be ignored
0.00677
if the last dropping digit is greater than 5 than the the last retained digit increases by 1
0.0068
if the last dropping digit is greater than 5 than the the last retained digit increases by 1
0.007
if the last dropping digit is greater than 5 than the the last retained digit increases by 1
0.01
if the last digit is less than 5 so it will be ignored
0.0 is significant figure because zero to the right of decimal point are significant
Step-by-step explanation:
i hope this will help you :)
Answer:
0.007
Step-by-step explanation:
Rounding off 0.006772 to 1 significant figures:
=> 0.007
There is only 1 significant figure in this , since the zeroes on the left are not counted as significant figures.
I NEED HELP ASAP PLEASE, THANKS! :)
Answer:
[tex]\dfrac{6^2-3^2}{2}=\dfrac{27}{2}[/tex]
Step-by-step explanation:
You can go to the trouble to integrate y = x from 3 to 6, or you can figure the area geometrically.
[tex]\displaystyle\int_3^6{x}\,dx=\left.\dfrac{x^2}{2}\right|_3^6=\dfrac{6^2-3^2}{2}\quad\text{using integration}\\\\A=\dfrac{1}{2}(b_1+b_2)h=\dfrac{1}{2}(6+3)(6-3)=\dfrac{6^2-3^2}{2}\quad\text{using geometry}[/tex]
Given the probability density function f(x) = 1/5 over the interval [4, 9], find the expected value, the
mean, the variance and the standard deviation.
Expected value:
Mean:
Variance:
Standard Deviation:
Answer:
Step-by-step explanation:
Assume that f(x) = 0 for x outside the interval [4,9]. We will use the following
[tex]E[X^k] = \int_{4}^{9}x^k f(x) dx[/tex]
[tex]Var(X) = E[X^2}- (E[X])^2[/tex]
Standard deviation = [tex] \sqrt[]{Var(X)}[/tex]
Mean = [tex]E[X][/tex]
Then,
[tex]E[X] = \int_{4}^{9}\frac{1}{5}dx = \frac{9^2-4^2}{2\cdot 5} = \frac{13}{2}[/tex]
[tex]E[X^2] = \int_{4}^{9}\frac{x^2}{5}dx = \frac{9^3-4^3}{3\cdot 5} = \frac{133}{3}[/tex]
Then, [tex]Var(x) = \frac{133}{3}-(\frac{13}{2})^2 = \frac{25}{12}[/tex]
Then the standard deviation is [tex]\frac{5}{2\sqrt[]{3}}[/tex]
Possibilities Density Functions are a set of data measures that can be used to anticipate that a discontinuous value will turn out as the following calculation:
Density function calculated value:Given function= [tex]\frac{1}{5}[/tex]
interval= [4,9]
Assuming that the given function that is [tex]fx) = 0[/tex] .
For this, the x outside the interval is [4,9].
Equation:
[tex]E[X^k] = \int^{9}_{4} x^k\ f(x) \ dx\\\\[/tex]
[tex]Var(X) = E(X)^2 - (E[X])^2[/tex]
The values are:
Standard deviation [tex]= \sqrt{Var(X)}[/tex]
Mean [tex]= E[X][/tex]
Solving the equation then:
[tex]E[X] =\int^{9}_{4} \frac{1}{5}\ dx[/tex]
[tex]= \frac{9^2-4^2}{2\cdot 5} \\\\ = \frac{81-16}{10} \\\\ = \frac{65}{10} \\\\=\frac{13}{2} \\\\[/tex]
[tex]E[X^2] =\int^{9}_{4} \frac{x^2}{5}\ dx[/tex]
[tex]= \frac{9^3-4^3}{3\cdot 5} \\\\= \frac{729-64}{15} \\\\ = \frac{665}{15}\\ \\=\frac{133}{3} \\\\[/tex]
[tex]\to Var(x) = \frac{133}{3} - (\frac{13}{2})^2 = \frac{25}{12}\\\\[/tex]
Therefore the standard deviation value is [tex]\frac{5}{2\sqrt{3}}[/tex]
Find out more about the probability here:
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For questions 1-4 Find the missing triangle
Answer:
1. 51°
2. 40°
3. 65°
4. 60°
Step-by-step explanation:
The sum of the angles in a triangle is 180°. We can use the angles given to find the missing angle.
1. 51°
42+87+x=180
129+x=180
x=51
-------------------------------------------------------------------------------
2. 40°
110+30+x=180
140+x=180
x=40
-------------------------------------------------------------------------------
3. 65°
20+95+x=180
115+x=180
x=65
-------------------------------------------------------------------------------
4. 60°
60+60+x=180
120+x=180
x=60
QUESTION 4
In a class. 30 students read English, 25 read Mathematics, 5 read both subjects and 6 were
allowed to read both subjects. How many students are in the class?
CH
Answer:
66
Step-by-step explanation:
30+25+5+6 = 66.
There are 66 students in the class.
Where is the opposite of the opposite of -1.9 situated on the number line?
Answer:
-1.9
Step-by-step explanation:
The opposite of the opposite is the original number, -1.9.
It is located at -1.9 on the number line.
Answer:
a
Step-by-step explanation:
Find the height of cylinder when volume is 154 cm^3 volume and radius is 3 cm
Answer:
Volume of a cylinder is πr²h
Where
r is the radius
h is the height
Volume = 154cm³
radius = 3cm
height = ? cm
154 = π × 3² × h
154 = π × 9 × h
154 = 9πh
divide both sides by 9π
h = 154/9π
h = 5.4cm
Height is 5.4cm
Hope this helps
Which facts are true for the graph of the function below? Check all that apply.
F(x) = logo6x
A. It is decreasing.
B. The y-intercept is (0,6).
c. The domain is x>6.
D. The range is y> 0.
O E. The x-intercept is (1,0).
F. It is increasing.
Answer:
It is increasing and the x-intercept is (1,0) so F and E
Step-by-step explanation:
A P E X
The true statements are F and E
What is a log function?The logarithm is the inverse function to exponentiation. That means the logarithm of a number x to the base b is the exponent to which b must be raised, to produce x.
We need to graph the log function. F(x) = log6x
Domain: x>0 All real number greater than 0.
Range: All real number.
y-intercept: Put x=0 and solve for y. (Does not exist)
y-intercept: Put y=0 and solve for x. (1,0)
Log function is increasing function.
F is true. (It is increasing)
D is False. (Because Range is all real number)
E is true. (x-intercept (1,0))
A is false. (It is decreasing.)
B is false. (The y-intercept is (0, 6))
C is false. (Domain is x>0)
Hence, F and E are true.
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A rectangle has length(4x+5) and breadth 3x.Find the area of the rectangle.
Answer:
Length = 4x+5
Breadth = 3x
Area = l × b
= (4x+5) × 3x
= 12 x² + 15 x
Someone help me please
Answer:
√111 lie between 10 and 11
Step-by-step explanation:
In order to calculate betwwen which values does √111 lie we would have to make the following calculation:
If we calculate 10∧2, the result is=100
If we calculate 11∧2 the result is=121
Therefore, according to that calculations we can be secure that the most certain options of would be that the √111 would be 10<√111<11
Therefore, √111 lie between 10 and 11