Answers
Answer:
Its A
Step-by-step explanation:
D is not 30 degrees its around 37
The expression A is equivalent to 30 degrees.
We have to determine whether the expression is equivalent to 30°.
What is the equivalent angle?
Two rotation angles that have the same measure.
D is not 30 degrees it's around 37
The value of cos ^-1(root3/2) =30 degree
[tex]\frac{\sqrt{3} }{2}=cos(30^0)[/tex]
The expression is equivalent to 30 degrees.
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Related Questions
1a) Let f(x)=ax^2-4x-c. A horizontal line, L, intersects the graph of f at x= -1 and x=3.
The equation of the axis of symmetry is x=p. Find P
The equation of the axis of symmetry is x=p. Find p
1b) Hence, show that a=2
1c) The equation of L is y=5. Find the value of C.
Answers
The equation of the axis of symmetry is [tex]\mathbf{x =1}[/tex], the value of a is 2, and the value of c is 1.
The function is given as:
[tex]\mathbf{f(x) = ax^2 -4x - c}[/tex]
Line L is represented as:
[tex]\mathbf{(x,y) = (-1,5)(3,5)}[/tex]
Substitute the above values in: [tex]\mathbf{f(x) = ax^2 -4x - c}[/tex]
So, we have:
[tex]\mathbf{5 = a(-1)^2 - 4(-1) - c}[/tex]
[tex]\mathbf{5 = a(3)^2 - 4(3) - c}[/tex]
Expand [tex]\mathbf{5 = a(-1)^2 - 4(-1) - c}[/tex]
[tex]\mathbf{5 = a + 4 - c}[/tex]
Expand [tex]\mathbf{5 = a(3)^2 - 4(3) - c}[/tex]
[tex]\mathbf{5 = 9a - 12 - c}[/tex]
Subtract [tex]\mathbf{5 = a + 4 - c}[/tex] and [tex]\mathbf{5 = 9a - 12 - c}[/tex]
[tex]\mathbf{5 - 5 = a - 9a + 4 + 12 -c + c}[/tex]
[tex]\mathbf{0 = - 8a + 16}[/tex]
Collect like terms
[tex]\mathbf{8a = 16}[/tex]
Divide both sides by 8
[tex]\mathbf{a = 2}[/tex]
Substitute [tex]\mathbf{a = 2}[/tex] in [tex]\mathbf{5 = a + 4 - c}[/tex]
[tex]\mathbf{5 = 2 + 4 - c}[/tex]
[tex]\mathbf{5 = 6 - c}[/tex]
Subtract 6 from both sides
[tex]\mathbf{-1 = - c}[/tex]
So, we have:
[tex]\mathbf{c = 1}[/tex]
Recall that:
[tex]\mathbf{f(x) = ax^2 -4x - c}[/tex]
Where:
[tex]\mathbf{a = 2}[/tex] and [tex]\mathbf{b = -4}[/tex]
The equation of the axis of symmetry is:
[tex]\mathbf{x = -\frac{b}{2a}}[/tex]
So, we have:
[tex]\mathbf{x = -\frac{-4}{2 \times 2}}[/tex]
[tex]\mathbf{x = -\frac{-4}{4}}[/tex]
[tex]\mathbf{x =1}[/tex]
Hence, the equation of the axis of symmetry is [tex]\mathbf{x =1}[/tex], the value of a is 2, and the value of c is 1.
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The band leader is recording the number of students in the seventh and eighth grades who play flute and clarinet. Which describes the variables in the two-way table? Band Assignments Flute Clarinet Total 7th Grade 19 24 43 8th Grade 22 18 40 Total type of instrument and total number of seventh and eighth graders type of instrument and total number of seventh graders grade number and number of clarinet players grade number and type of instrument
Answers
Answer:
d
Step-by-step explanation:
The variables are the number of clarinet players grade number and type of instrument. The correct option is D.
What are variables?A variable in mathematics is a sign and placeholder for a variable quantity or another mathematical object. A variable can specifically represent a number, a vector, a matrix, a function, its argument, a set, or one of its elements.
Given that the band leader is recording the number of students in the seventh and eighth grades who play flute and clarinet.
The variables are the number of clarinet players grade number and type of instrument.
Therefore, variables are the number of clarinet players grade number, and type of instrument. The correct option is D.
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SQUARE ROOT RELATED - Please show work and/or explanation
What is the square root of 180
Answers
Answer:
6[tex]\sqrt{5}[/tex] or approximately 13.416407865
Step-by-step explanation:
List all of the factors of 180.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Find the perfect squares from the list such as:
1, 4, 9 and 36
Choose the biggest one and divide 180 by it.
180 / 36 = 5
Calculate the square root of your square number
[tex]\sqrt{36}[/tex]=6
Your answer is 5[tex]\sqrt{6}[/tex] (in its simplest radical form)
If you wanted to calculate the answer as a decimal, 5 x [tex]\sqrt{6}[/tex] = approximately 13.416407865
Big problem. Need the answer ASAP!! Please
Answers
9514 1404 393
Answer:
E. 36.8 ft
F. 59 ft
G. 3.5 ft or 114.5 ft
Step-by-step explanation:
E. Put x=60 in the equation and do the arithmetic.
h = -0.01·60^2 +1.18·60 +2 = -36 +70.8 +2 = 36.8
The height is 36.8 feet when the ball is 60 feet downfield.
__
F. The vertex of expression ax^2 +bx +c is x = -b/(2a). Here, that is ...
x = -(1.18)/(2(-0.01)) = 59
The ball has traveled 59 feet downfield when it reaches its maximum height.
__
G. To find the downfield distance for a height of 6 feet, we set h=6 and solve for x.
6 = -0.01x^2 +1.18x +2
0.01x^2 -1.18x +4 = 0 . . . put in standard form
x^2 -118x +400 = 0 . . . . . multiply by 100 to get rid of decimals
x = (118 ± √(118² -4(1)(400)))/(2) = 59 ±√3081
x ≈ 59 ± 55.5 ft = {3.5 ft, 114.5 ft}
The ball will be 6 ft high at distances of 3.5 and 114.5 ft downfield.
33% of what number is 1.45
Answers
Answer:
.475
Step-by-step explanation:
This is the Ansewer
help plzz!! It would be appreaciated, please give me help
Answers
Answer:
c hope this helps
Step-by-step explanation:
CAN SOMEONE HELP ME WITH THISS
Answers
Answer:
C
Step-by-step explanation:
|25|/10 - |10|/6 = |5|/6= 5/6
the absolute value of positive number is positive.
Which problem shows estimation to the tenths place correctly?
Answers
Answer:
the second one
Step-by-step explanation:
jus took da test
Certain conditions are set for each race; for example, the age of the horses that could be entered, the gender of the horses that could be entered, and whether the horse has won a prior race or not. Once the conditions are set, owners nominate their eligible horses for the races, and then some of those nominated horses are chosen to run in the race. A random sample of 20 races was selected, and the number of horses nominated for each race is recorded below.
7 13 28 12 16 23 13 49 18 11 9 27 36 18 15 11 32 22 1921
For the data above:_____.
(a) construct an appropriate stem-and-leaf plot to graphically display this data (to do so, type the stems down the left edge of the box, and next to each space over three (3) times, then write the leaves next to the appropriate stems; it is not necessary to draw a line to separate the stems and the leaves:
(b) calculate the mean, median, range, standard deviation, and interquartile range for this data (round all answers to two decimal places):You may do the calculations by hand or with the calculator, partial credit will only be given if correct work is shown:
(c) use the stem-and-leaf plot and appropriate statistics to completely describe the distribution of the number of horses nominated for each race in the sample.
Answers
Answer/Step-by-step explanation:
a. To construct a stem-and-leaf plot for the given sample data, 7, 13, 28, 12, 16, 23, 13, 49, 18, 11, 9, 27, 36, 18, 15, 11, 32, 22, 19, 21, first, order the data from the least to the greatest.
7, 9, 11, 11, 12, 13, 13, 15, 16, 18, 18, 19, 21, 22, 23, 27, 28, 32, 36, 49
The plot would like the one shown below:
Stem | Leaf
0 | 7, 9
1 | 1, 1, 2, 3, 3, 5, 6, 8, 8, 9
2 | 2, 3, 7, 8
3 | 2, 36
4 | 9
Key:
13 = 1 | 3
b.
i. Mean = (7 + 9 + 11 + 11 + 12 + 13 + 13 + 15 + 16 + 18 + 18 + 19 + 21 + 22 + 23 + 27 + 28 + 32 + 36 + 49)/20
Mean = 400/20
Mean = 20
ii. Median = average of the 10th and 11th data value
Median = (18 + 18)/2 = 36/2
Median = 18
iii. Range = max value - min value
Range = 49 - 7
Range = 42
iv. Standard deviation for sample data is given as [tex] s = \sqrt{\frac{1}{N-1} \sum_{i=1}^N (x_i - \overline{x})^2} [/tex]
Where,
[tex] \overline{x} = sample mean = 20 [/tex]
[tex] x_i = each value of the sample data [/tex]
N = total number of values in the sample = 20
Let's solve:
First, calculate [tex] (x_i - \overline{x})^2 [/tex] for each data value:
7 => (7 - 20)² = (-13)² = 169
9 => (9 - 20)² = (-11)² = 121
11 => (11 - 20)² = (-9)² = 81
11 => (11 - 20)² = (-9)² = 81
12 => (12 - 20)² = (-8)² = 64
13 => (13 - 20)² = (-7)² = 49
13 => (13 - 20)² = (-7)² = 49
15 => (15 - 20)² = (-5)² = 25
16 => (16 - 20)² = (-4)² = 16
18 => (18 - 20)² = (-2)² = 4
18 => (18 - 20)² = (-2)² = 4
19 => (19 - 20)² = (-1)² = 1
21 => (21 - 20)² = (1)² = 1
22 => (22 - 20)² = (2)² = 4
23 => (23 - 20)² = (3)² = 9
27 => (27 - 20)² = (7)² = 49
28 => (28 - 20)² = (8)² = 64
32 => (32 - 20)² = (12)² = 144
36 => (36 - 20)² = (16)² = 256
49 => (49 - 20)² = (29)² = 841
Next, calculate [tex] \sum_{i=1}^N (x_i - \overline{x})^2 [/tex] by summing all results gotten above:
= 169 + 121 + 81+ 81 + 64 + 49 + 49 + 25 + 16 + 4 + 4 + 1 + 1 + 4 + 9 + 49 + 64 + 144 + 256 + 841
= 2,032
Next, find [tex] \frac{1}{N-1} \sum_{i=1}^N (x_i - \overline{x})^2 [/tex] by dividing the result you have above by (N - 1):
[tex] \frac{2,032}{N - 1} = \frac{2,032}{20 - 1} [/tex]
[tex] \frac{2,032}{19} = 106.947368 [/tex]
Next, calculate [tex] s = \sqrt{\frac{1}{N-1} \sum_{i=1}^N (x_i - \overline{x})^2} [/tex] by finding the square root of the result you have above:
[tex] s = \sqrt{106.947} [/tex]
[tex] s = 10.34 [/tex] (to 2 d.p)
v. Interquartile Range (IQR) = Third Quarter (Q3) - First Quartile (Q1)
Q1 = (12 + 13)/2 = 25/2 = 12.5
Q3 = (23 + 27)/2 = 50/2 = 25
IQR = 25 - 12.5
IQR = 12.5
c. The distribution of the number of horses nominated for each race in the sample is slightly down-skewed. This indicates that most of lower number of horses nominated for each race in the sample chosen are more common. Most of the data values are below the mean value of 20. Also, the median shows the median number of horses selected to be 18, indicating a lower number.
With the distribution having a range value of 42, extreme value such as 49, seem to be an outlier, as it does not reflect the typical number of horses selected in each race, which are mostly lower.
#5. What is the length of segment DC ?
Answers
Answer:
6 units
Step-by-step explanation:
because since AC is 24 units long, and BC is half of AC, then that would be 12 units, and since DC is half of BC, then that would be six units.
HELPPP ME
Find the slope of a line that passed through the points (-15,9) and (0,-3)
A. -5/2
B.-5/4
C.-4/5
D. -2
Answers
Answer:
C.-4/5
Step-by-step explanation:
(y2-y1)/(x2-x1) <--- EQUATION
Plug your numbers in and solve it (there are also slope calculators you can plug it into)
Answer:
The answer is C hope this helps
Arturo is learning how to write.He wrote a note to his mom but misspelled 13 words. If he misspelled 25% of the words he wrote,how many words long was his note
Answers
Determine whether the underlined number is a statistic or a parameter. A sample of professors is selected and it is found that (40%) own a television. Choose the correct statement below.
a. Statistic because the value is a numerical measurement describing a characteristic of a sample.
b. Parameter because the value is a numerical measurement describing a characteristic of a sample.
c. Parameter because the value is a numerical measurement describing a characteristic of a population.
d. Statistic because the value is a numerical measurement describing a characteristic of a population.
Answers
Answer: a. Statistic because the value is a numerical measurement describing a characteristic of a sample.
Step-by-step explanation: Statistic are numerical characteristics drawn or obtained from a sample which is a subset of a population. Numerical values obtained from a population of data is called parameter. Hence, since the set of professors from which the value of those who own a television being 40% was drawn is stated as being a sample. Then all numerical characteristics obtained from the dataset will be referred to as a statistic.
What’s the measure of angle F?
Answers
Answer:
90 degrees.
Step-by-step explanation:
Which linear inequality is represented by the graph?
A. y> 2x+ 2
B. y>1/2x+1
C. y>2x+1
D. y>1/2x+2
Answers
Answer:
C. y>2x+1
Step-by-step explanation:
The dashed line automatically means it's either A. or C. because a dashed line indicates it is greater than or less than rather than greater than/ equal to or less than/equal to. Those would have a solid line graphed. The line also has a y-intercept or 1 which means C. is obviously the correct answer.
The dataset ExerciseHours contains information on the amount of exercise (hours per week) for a sample of statistics students. The mean amount of exercise was 9.4 hours for the 30 female students in the sample and 12.4 hours for the 20 male students. A randomization distribution of differences in means based on these data, under a null hypothesis of no difference in mean exercise time between females and males, is centered near zero and reasonably normally distributed. The standard error for the difference in means, as estimated from the standard deviation of the randomization differences, is . Use this information to test, at a level, whether the data show that the mean exercise time for female statistics students is less than the mean exercise time of male statistics students.
Answers
Answer:
i think you should put the answer of 8.98
Step-by-step explanation:
Solve the picture I put on ther
Answers
Answer: The numerator simplified is equal to 2^9. This is because you add the exponents to simplify. The denominator is also equal to 2^9 because you multiply the exponents to simplify. 2^9 divided by 2^9 equals 1.
Step-by-step explanation:
Answer:
It is equal to 1 because: 2^4 is 16, 2^5 is 32, 16 times 32 is 512. 2^3 is 8, 8^3 is 512. 512/512 is 1.
I hope this helps!
14r + 12s / 4s - 10s
Answers
George reduced the size of a painting to a width of 2 in. What is the new height of the painting if it originally was 10 in wide and 16 in tall?
Answers
Answer:
3.2 inches
Step-by-step explanation:
We know that the original painting was 10 inches wide by 16 inches tall.
Our new painting is 2 inches wide by x inches tall.
So, we can write the following proportion:
[tex]\frac{10}{16}=\frac{2}{x}[/tex]
The numerator represents the widths, and the denominator represents the lengths.
Also, note that we align vertically the original and new dimensions.
So, to find our new height, solve for x.
First, we can reduce the fraction on the left:
[tex]\frac{5}{8}=\frac{2}{x}[/tex]
Cross multiply:
[tex]16=5x[/tex]
Divide both sides by 5:
[tex]x=16/5=3.2[/tex]
So, our new height is 3.2 inches.
And we're done!
HELP!
The graph shows the solutions to inequalities y > 3/2x - 2 and y < 3/2x - 10. Does the system of inequalities have solutions? If so, which region contains the solutions?
Answers
Answer:
A. There is no solution
Step-by-step explanation:
The shaded regions do not overlap. The solution space is in the region of overlap, so there is no solution.
Donny had a 10-foot board. He used the board to make two shelves. One shelf measured 4 feet 7 inches wide and the other shelf measured 3 feet 2 inches wide. What is the length of the remaining piece of board?
Answers
Answer:
2.25 feet
Step-by-step explanation:
The length of the remaining piece of board will be 2 feet 3 inches.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
It is given that Donny had a 10-foot board. He used the board to make two shelves. One shelf measured 4 feet 7 inches wide and the other shelf measured 3 feet 2 inches wide.
The length of the remaining part is calculated as below:-
10 foot = 10 x 12 = 120 inches
4 feet 7 inches = (4 x 12) + 7 = 48 + 7 = 55 inches
3 feet 2 inches = ( 3 x 12 ) +2 = 36 + 2 = 38 inches
Remaining length = 120 - 55 - 38 = 27 inches
= 24 + 3 = 2 feet 3 inches.
Therefore, the length of the remaining piece of board will be 2 feet 3 inches.
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alex is working to simplify
Answers
Answer:
is this all?
Step-by-step explanation:
Five divided by two multiplied by a number then decreased by eleven is equal to four. Find the number.
Answers
Answer:
the number = 8/5 or 1 3/5 or 1.6
Step-by-step explanation:
n = the number
5/2n - 11 = 4
5/2n - 11 + 11 = 5 / 2n
5/2n = 4
5/2n / 5/2 = n
4 / 5/2 = 8/5
Order these numbers from least to greatest. The top number in your list should be the least, and the bottom number should be the greatest A. 2.47, B.12/15, C.√3, D.2
Answers
Answer:
B, C, D, A
Step-by-step explanation:
A -- 2.47 = 2.47
B -- 12/15 = 0.8
C -- √3 = 1.732050808
D -- 2 = 2
Ans: 12/15, √3, 2, 2.47
**Hope this helps!
if one of the angle of a triangle is right angle it is called
Answers
Step-by-step explanation:
right angled triangle......
what is 1,0000000000 divided by 10 equal?
Answers
Answer:
1,000,000,000
Step-by-step explanation:
Answer:
1,000000000
Step-by-step explanation:
10/10000000000 (Divide By 10)
= 1000000000 (Take one 0 away)
Identify the domain of the function shown in the graph.
Answers
Let
be the function that gives the average cost per book
c(x)
in dollars, when using an online store to print
copies of a self-published paperback book. Use the graph of
120 + 4x
c(x) =
to answer the following questions.
1. What is the approximate cost per book when 125 books are printed?
2. The author plans to charges $9 per book. About how many should be printed?
Answers
Answer:
5 and 24
Step-by-step explanation:
1) replace the x's with 125 | c(x)=120+4(125)/(125)
620/125=5 simplify numerator
x=5
2) replace c(x) with 9 | 9=120+4x/x
9x=4x+120 multiply both sides by x
9x-4x=4x+120-4x subtract both sides by -4x
5x=120 divide both sides by 5
x=24
so, it costs about 5 dollars per book when 125 are printed
and, if it costs 9 dollars per book, 24 should be printed
The given function for the cost of printing is a linear function that has a
fixed (set up) cost and a variable cost component.
The correct responses are;
1. The cost of printing 125 books is $620.2. The number of books that should be printed, for the author to be able to charged $9 per book is at least 24 books.Reasons:
Given that the function for the cost of printing x books is; c(x) = 120 + 4·x, we have;
1. The cost of printing 125 books is c(125) = 120 + 4 × 125 = 620
The cost of printing 125 books = $620
2. The amount the author plans to charge per book = $9
The number of books, n, that should be printed is given as follows;
[tex]\displaystyle 9 = \mathbf{ \frac{120 + 4 \times n}{n}}[/tex]
Which gives;
9·n = 120 + 4·n
9·n - 4·n = 120
5·n = 120
[tex]\displaystyle n = \frac{120}{5} = \mathbf{24}[/tex]
The number of books that should be printed, n ≥ 24 books
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Complete
Solve 2x2 + x − 4 = 0
Answers
Step-by-step explanation:
2 x 2 + x - 4 = 0
4 + x - 4 = 0
+4 +4
8 0
8 + x = 0
8 8
x = 0
For the - 4 + 4 part, it cancels out because it's 0 and for the 8 divided by 8 part, it cancels out too. x is 0 because 0 divided by 8 is 0.
Hope this helped!
Use the quadratic formula to find the roots: -3x^2 + 27x = 42
Answers
Answer:
x=2, x=7
Step-by-step explanation:
-3x^2+27x=42
x^2-9x=-14
x^2-9x+14=0
x*(x-2)-7(x-2)=0
(x-2)*(x-7)=0
x-2=0
x-7=0
x=2
x=7
