The answer is 18 : -2/3 : 15
Step-by-step explanation:
10 + 8 : (-1/3) - 1/3 : 8 + 7
18 : -2/3 : 15
PLEASE HELP ME ASAP PLEASE.
Answer:
See below
Step-by-step explanation:
g (h(6)) :
h (6) = 3 ( 6^2) + 2 = 110
then g (110) = sqrt (110)
h (g(5))
g(5) = sqrt 5
then h( sqrt5) = 3 ( sqrt5)^2 + 2 = 17
Let (-4,-4) be a point on the terminal side of theta in standard position. find exact values of the six trigonometric functions of theta
The six trigonometric functions of theta for the point (-4, -4) is
sin Θ = -1/√2
cos Θ = -1/√2
tan Θ = 1
cosec Θ = -√2
sec Θ = -√2
cot Θ = 1
Trigonometric Functions:
Trigonometric functions are defined as the functions of an angle of a triangle. It means that the relationship between the angles and sides of a triangle.
The six trigonometric functions are,
Sin Θ =Opposite/Hypotenuse
Cos Θ = Adjacent/Hypotenuse
Tan Θ = Opposite/Adjacent
Sec Θ = Hypotenuse/Adjacent
Cosec Θ = Hypotenuse/Opposite
cot Θ = Adjacent/Opposite
Given,
Let (-4,-4) be a point on the terminal side of theta in standard position.
Here we need to find the exact values of six trigonometric functions.
Here the give point (-4,-4) represents the values of (opposite, adjacent).
So, the opposite = -4
and adjacent = -4
Now we have to find the hypotenuse of the point,
For that, we have to use the Pythagoras theorem,
hypotenuse = √oppostie² + adjacent²
Therefore,
=> hypotenuse = √(-4)² + (-4)²
=> hypotenuse = √16 + 16
=> hypotenuse = √32
it can be written as,
=> hypotenuse = √2 x 16
=> hypotenuse = 4√2
Now the six trigonometric functions are based on the formula,
sin Θ = -4/4√2 => sin Θ = -1/√2
cos Θ = -4/4√2 => cos Θ = -1/√2
tan Θ = -4/-4 => tan Θ = 1
cosec Θ = 4√2/-4 => cosec Θ = -√2
sec Θ = 4√2/-4 => sec Θ = -√2
cot Θ = -4/-4 => cot Θ = 1
So, all the six trigonometric values are identified.
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what is the monthly payment for a 12,300 4 year loan with an APR of 5%
Answer:
10,877
Step-by-step explanation:
Work out the area of the rectangle
Answer:
11.2 or 11 1/5
Step-by-step explanation:
multiply it ez
Answer: Use a=wl, 13.3
Step-by-step explanation:
a=wl
4.75*2.8=13.
2. Determine whether each of the following expressions is equivalent to 4a + 5(b-2)
i. 2(-5+2a) + 5b
ii. 9ab-10
iii. 4a +56 + 10
If 25,197,624 hot dogs are packaged in sets of 4, how many will be left over?
Answer:6,299,406
Step-by-step explanation:
I need to find the following limits
The solution are-
(a) lim h (x) = -2
x → -2⁻
(b) lim h (x) = -2
x → -2⁺
(c) lim h (x) = -2
x → -2
What is defined as the limits of the functions?A limit describes the value which a function approaches as its inputs get increasingly closer to a certain number.
The concept of a limit is at the heart of all calculus.
(a) lim h (x) = -2
x → -2⁻
Put x = 2 at the place of x in h(x).
This limit is called the left hand limit of the function as there is negative sign over 2.
(b) lim h (x) = -2
x → -2⁺
Put x = 2 at the place of x in h(x).
This limit is called the right hand limit of the function as there is positive sign over 2.
(c) lim h (x) = -2
x → -2
Put x = 2 at the place of x in h(x).
This limit exists just at x = 2.
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Simplify the following expression.
(48x + 50y) - (35x - 5y)
A.
13x + 55y
B.
13x - 45y
C.
13x - 55y
D.
13x + 45y
Answer:
B
Step-by-step explanation:
(48x-50y)-(35x-5y)
48x-50y-35x+5y
13x-45y
Write the equation of the line through (3,-5) and perpendicular to -3x + 2y = 12 in slope-intercept form.
The equation of the line through (3,-5) and perpendicular to -3x + 2y = 12 in slope-intercept form is y = -2/3x + 1
Equation of a lineThe equation of a line is expressed as;
y = mx + b
m is the slope
b is the y-intercept
Given the equation -3x + 2y = 12
2y = 3x + 12
y = 3/2x + 6
From the equation, the slope that is perpendicular to the slope is -2/3
Determine the equation
y-(-5) = -2/3(x-3)
y+5 = -2/3x + 6
y = -2/3x + 6 - 5
y = -2/3x + 1
Hence the equation of the line through (3,-5) and perpendicular to -3x + 2y = 12 in slope-intercept form is y = -2/3x + 1
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If mPQY = 4x – 7 and mRQY = 2x + 25, solve for x. Show all your work. Please help me. I would appreciate it. Thanks. x s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s d d d d d d d d d d d d d d d d d d d d d d d d d d d d d d d d d d d
The value of x is 27°, m∠=PQY=101° and m∠RQY=79°.
Given that, m∠PQY= 4x-7 and m∠RQY = 2x+25 are linear pairs of angles.
What are linear pairs of angles?Linear pairs of angles are formed when two lines intersect each other at a single point. The angles are said to be linear if they are adjacent to each other after the intersection of the two lines. The sum of angles of a linear pair is always equal to 180°.
Now, m∠PQY+m∠RQY=180°
⇒4x-7+2x+25=180°
⇒6x+18=180°
⇒6x=162
⇒x=27°
So, m∠=PQY=4x-7
=101°
and m∠RQY=2x+25
=79°
Therefore, the value of x is 27°, m∠=PQY=101° and m∠RQY=79°.
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Answer:
27
Step-by-step explanation:
Define the concept of an angle and show how it should be indicated in Math (notation). Mention at least two ways.
An angle is denoted by the angle symbol ∠ and the three letters representing the name of the angle.
An angle is denoted by the angle symbol ∠ which is then being followed by three letters that will represent the points that form an angle.
Lets say for example, the expression ∠ABC will mean that “the angle is formed by the points A, B and C”
where the vertex of the angle is at the point B as it is in the middle.
Angles can also be of different types like:
An Acute Angle which means an angle is less than 90 degrees.
A Right Angle which means an angle which is exactly 90 degrees.
An Obtuse Angle which is an angle more than 90 degrees and less than 180 degrees.
A Straight Angle which is an angle that is exactly 180 degrees.
And a Reflex Angle which is an angle greater than 180 degrees and less than 360 degrees.
Therefore, an angle is denoted by the angle symbol ∠ and the three letters representing the name of the angle.
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A standard ream of paper plus another half ream of paper contains 750 sheets of paper
The number of the sheets in a ream of paper is a 500 sheets.
According to the statement
We have to find that the number pf paper sheets in a one ream.
So, For this purpose, we know that the
The standard form of a number is a way of writing the number in a form that follows certain rules.
From the given information:
A standard ream of paper plus another half ream of paper contains 750 sheets of paper.
It means
total number of sheets = 750 sheets
Then
one full ream + half ream = 750 sheets
Let x be a number of sheets
then
x + x/2 = 750
2x+x /2 = 750
3x/2 = 750
3x = 1500
x = 1500/3
x = 500.
So, The number of the sheets in a ream of paper is a 500 sheets.
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1. Which of the following points are on the circle centered at the origin with 2 = 89 ?
A) (25,64)
B) (5, -8)
C) (-3,-9)
D) (√89, √89)
The answer choice which represents a point of the circle with r² = 89 is; Choice B; (5, -8).
Which of the following points are on the circle centered at the origin with r² = 89?It follows from the task content that the circle in discuss has a center at the origin, (0,0).
Hence, the since the square of the radius is; = 89.
It follows that the point which fits into the equation of the circle; x² + y² = r² is;
Choice C; (5)² + (-8)² = 25 + 64 = 89.
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The answer choice which represents a point of the circle with r² = 89 is; Choice B; (5, -8).
Which of the following points are on the circle centered at the origin with r² = 89?It follows from the task content that the circle in discuss has a center at the origin, (0,0).
Hence, the since the square of the radius is; = 89.
It follows that the point which fits into the equation of the circle; x² + y² = r² is;
Choice C; (5)² + (-8)² = 25 + 64 = 89.
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a²-7a²b² + b² factor
If you have scores and you don't know the shape of their distribution, find the minimum proportion of scores that fall within 1.8 standard deviations on both sides of the mean? Round to two decimal places.
Using Chebyshev's Theorem, the minimum proportion of scores that fall within 1.8 standard deviations on both sides of the mean is 69.14%.
What does Chebyshev’s Theorem state?When the distribution is unknown, Chebyshev's Theorem is used. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.At least 89% of the measures are within 3 standard deviations of the mean.An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100\left(1 - \frac{1}{k^{2}}\right)[/tex].For this problem, we have that k = 1.8, hence the percentage is:
[tex]P = 100\left(1 - \frac{1}{1.8^{2}}\right) = 69.14[/tex]
The minimum proportion of scores that fall within 1.8 standard deviations on both sides of the mean is 69.14%.
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s = gh−5gc ^3 solve for g.
If the nth term of a sequence is
7n + 2 what is the 10th term?
Answer:
72
Step-by-step explanation:
7(10) + 2
70 + 2
72
William paid $50 to his credit card and divided the rest of his paycheck evenly into a savings account, a checking account, and cash to spend for the week. he has $100 to spend for the week. write an equation to represent the situation. then solve.
The equation can be summarized as; p = $50 + 3($100 ). Hence William was paid $350.
What is a linear equation?A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.
Let p represents the paycheck.
William paid her parents $50 for rent. After paying the rent he evenly divided the rest of the amount into three parts.
He puts $ 100 into her savings account. It means that he also puts $100 into checking account and $ 100 into retirement fund
If we put the parts together, the equation we get is;
p = $50 +$100 +$100 +$100
The equation can be summarized as;
p = $50 + 3($100 )
Now we can easily find how much was William paid;
p = $50 + 3($100)
p = $50 +$300
p = $350
Hence William was paid $350.
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what fractions are equivalent to 4.05 with a bar notation over the 0 and 5
Answer:
Part 1) The fractions in the list are not equal to the decimal number indicated
Part 2) The fractions 401/99 and 802/198 are equal to the decimal number indicated.
Part 1)
we have the decimal number
4.05 -----> is a terminating decimal ( t's a decimal with a finite number of digits)
Convert to fraction number
Multiply and divide by 100
Simplify
Divide by 5 both numerator and denominator
therefore
The fractions in the list are not equal to the decimal number indicated.
Part 2) we have
4.050505... ------> is a repeating decimal (is a decimal that has a digit, or a block of digits, that repeat without ever ending)
Let
x=4.050505...
we have that
Multiply by 2 both numerator and denominator
therefore
The fractions 401/99 and 802/198 are equal to the decimal number indicated.
Step-by-step explanation:
what is the answer of 3x + 4 = 2 x - 1
Answer: x = -5
Step-by-step explanation:
3x + 4 = 2x - 1
3x = 2x -5
x = -5
On the graph below, draw any line with a slope of *positive* 2 and draw any line with a slope of *negative* 2.
Refer to the image for the graph of the lines.
The common form of the equation of a line is y = mx + c, where m is the slope of the line and c is a constant.
We need to draw any line with a slope m = 2, and
another line with a slope m = -2.
Disclaimer: Let us assume that the constant c = 0.
Then the equation to the line with a slope of "positive" 2 is given by
y = 2x
Then the equation to the line with a slope of "negative" 2 is given by
y = -2x
Refer to the attached image for the graph of the lines with the slope of "positive" 2 and "negative" 2.
f: green line indicates a line with a slope of "positive" 2.
g: blue line indicates a line with a slope of "negative" 2.
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Solve 2 (x-3) ≥-3 (−3+x).
A. x ≤2
B. x <3
C. x ≥3
D. x ≥ 2
[tex]2(x-3)\geqslant -3(-3+x)\implies 2x-6\geqslant 9-3x\implies 2x\geqslant 15-3x \\\\\\ 5x\geqslant 15\implies x\geqslant \cfrac{15}{5}\implies x\geqslant 3[/tex]
what is 3(+4)=42 in algebra
Of all of the common assumptions that we discussed in class, I think one of the most common is the idea that a children’s text should in some way teach the reader something. We of course talked about the term didactic, and how a didactic book strongly pushes a lesson onto the reader, telling them that they should believe this or that. Many times a reason for that lesson isn’t even given, as though the young person reading the book should just accept that lesson because they are told to, because the other knows better. As I was reading Cat in the Hat by Dr. Seuss, the book I selected for the assignment, I was hoping that it wouldn’t be as didactic as most other children’s books, and that it would be as playful and exciting as I remember as a child. On the last two pages of the book, however, the absent mother returns home, the cat has disappeared, the children are behaving nicely, sitting in chairs, and it is pretty obvious that even though they got into mischief they are still good children after all. Nothing really has changed at the end of the book. Although all sorts of things got played with, and the children broke the rules I am sure they know about (like, “Don’t fly kites in the house”), major boundaries were never crossed.
We talked about how the opposite of a didactic book might be an ambiguous book, or a book that encourages the reader to think about issues, to make decisions for themselves. In that kind of book, the author usually wants to the reader to think for her or himself, to understand that some things are difficult, even for adults. The author may present a problem and ask you what you think, or might just never come around to saying exactly what you are supposed to believe. The last page of Cat in the Hat ends with the narrator saying, referring to the mother, “Should we tell her about it? / Now what SHOULD we do? / Well . . . / What would YOU do / If your mother asked you?” (61). In some ways, this is probably a pretty ambiguous ending. The author asks the reader that if your mother left, if someone wanted you to do what you weren’t supposed to, if you did it anyway, and if you didn’t get caught, then would you tell your mother or father what happened? Most adults wouldn’t tell what happened themselves, but the question is there anyway, and it seems to be really asking children what they believe.
But it doesn’t seem really that ambiguous. If the book were really ambiguous it would be breaking the Typical Case Prototype of children’s books, and in almost every other way the book keeps to those prototypes. As Nodelman describes it, children’s books are typically bright, colorful, funny, entertaining, and maybe sometimes rhyming. Children’s books portray children as the way adults typically think of them, as crazy kids who aren’t serious like adults, or innocent angels who would never really do any harm when they play. Dr. Suess portrays typical kids, bored by the rain, wanting to do something wild. Although Seuss’s style is strange, the children even look like the sort of standard white children that appear in most books, the girl in a dress and ribbon in her hair. We saw in class how these children are a lot like the standard one’s in Cassie’s history textbook And although strange things happen in the book – a talking cat, a couple of strange Things, a lot of things getting thrown around – it is the kind of play we come to expect in children’s lives, especially in the sorts of standard things shown on television and in movies.
In fact, the children never quite seem to trust the Cat, and they always just sort of watch him play. The children never really do anything that crazy themselves. The Fish, who sounds a lot like an adult, is always there to warn them, and in the end everything gets cleaned up. Of course the book is fun and playful, and is obviously one of the most famous and liked picture books ever made, but it is still pretty straightforward. Cat in the Hat reinforces and demonstrates almost all of the typical assumptions about childhood, and it fulfills all of the typical case prototypes of children’s books. Examining it made me think about how the book might have changed in recent years, especially since children are rarely bored when they are at home any more (with all of the stuff they own to play with). But more than that, it made me think about why we expect all children’s books to be like this, why it is always considered one of the best books for children. Although I like typical children’s books, it makes me also interested in books that don’t do what we expect. The book was written 1957, and in so many ways children’s books have become so incredibly different since then. But in a lot of other ways, some good, some bad, they haven’t changed at all.
a=(3,-4), b=(8,-1) y c=(-2,5)
V=3a-2b+c
Answer:
5729627829263#wyyeiwyuwityeioe
help me with my little sister's homework I forgot how to do this.
Answer:
3
Step-by-step explanation:
9/3 = 3
b is 3 times more than a
Find an equation for the perpendicular bisector of the line segment whose endpoints are (7,-1) and (-9,3).
Answer: Determine the mid-point.
Determine the slope between the two points.
The slope of perpendicular is negative reciprocal
Use slope and mid-point is point slope form.
Step-by-step explanation:
Z is a standard normal random variable. what is the value of z if the area to the right of z is 0.0122?
The value of z = 2.25
Given that z is a standard normal random variable.
Now the area under a standard normal curve between two z -values gives the probability of z lying between these two z-values.
Given that the area to the right of z = 0.0122
That is probability that the standard normal random variable lies after z = 0.0122
Total probability = 1
Therefore half the area under the standard normal curve = 0.5
Therefore, 0.5 - 0.0122 = 0.4878
We will find the corresponding z-value for this probability value from the normal tables. This is because normal tables gives area between two standard normal variables.
The table value corresponding to 0.4878 = 2.25
Therefore, z -value = 2.25
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Mr. Price deposited $170 in his bank. The number of $5 bills was 3 times the number of
$10 bills, and the number of $1 bills was 30 more than the number of $5 bills. How many
bills of each type did he deposit?
Mr. Price deposited a $10 bill for $50, a $5 bill for $75, and a $1 bill for $45.
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
We have been given that the number of $5 bills was 3 times the number of $10 bills
Let the number of $10 bills would be x
As per the given condition,
$10 = x
$5 = 3x
$1 = 3x+30
Since he deposited $170 in his bank.
So 10x + 5(3x) + 1(3x+30) = 170
⇒ 25x+3x+30=170
⇒ 28x=140
⇒ x = 5
Therefore, $10 for $50
So 3x = 15, $5 for $75
So 3x+30 = 45, $1 for $45
Hence, he deposited a $10 bill for $50, a $5 bill for $75, and a $1 bill for $45.
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the international shark attack file recorded the number of shark attacks between 1837 and 2016 for 8 different u.s. states.
what is the mean number of shark attacks over these states?
4,8, 5, 13,3,4, 1, 10
The mean of the data given 4, 8,5, 13, 3, 4, 1, 10 shows number of shark attacks over 8 different states is 6.
As given,
Number of different states 'n'= 8
Number of sharks attacks for 8 different states
[tex]x_{i}[/tex] = 4, 8,5, 13, 3, 4, 1, 10
Mean = [tex]\frac{\sum x_{i} }{n}[/tex]
= (4+ 8+ 5 + 13 + 3 + 4 + 1 + 10) /8
=48 /8
=6
Therefore, the mean of the data given 4, 8,5, 13, 3, 4, 1, 10 shows number of shark attacks over 8 different states is 6.
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Answer: 16.0 is the correct answer
Step-by-step explanation:
A taxi driver's total income is AED 100 per day, less AED 600. Her expenses are AED 35 per day, plus
AED 450.
Which of the following statements is true?
Let x represent the number of days and y represent the total income or expenses.
Answer:
the AED450
Step-by-step explanation:
I don't know what to say about my answer but I think it's just the best way to anwers