Answer:
a) y = sin x
b) y = csc x
c) y = cot x
Step-by-step explanation:
only d is even
Extra credit question for math class...
3 men go to a hotel room for a night. The manager charged them $30, therefore they split the bill “$10” each.
The manager later realized that he made a mistake and the total should’ve been $25, not $30...
The manager tells the bell boy to return the $5 to the 3 men, but the bellboy cheats and pockets $2 and only returned $3...
now each guy did not pay $10... they each payed $9, because they each got $1 back.
Each guy payed $9 = $27
Plus $2 in bellboys pocket
Total is $29
Where is the missing dollar?
they paid 30, 10 + 10 + 10.
the manager refunded them 5, 30 - 5 = 25.
the bellboy took 2, gave them 3 only.
since the bellboy gave only 3 to friends, then they paid 10 + 10 +10 - 3 = 27, if we include the 2 the bellboy kept, then that makes it 27 - 2 = 25.
we're not adding the $2 kept by the bellboy, we're subtracting it from the $27.
If C is the midpoint of segment AB and AB = 20, what is AC?
5
10
20
40
Answer:
AC= 10
Step-by-step explanation:
If AB is equal to 20 and C is the midpoint (meaning half of the segment), then you simply divide 20 by 2 which equals to 10.
Look at the image below for a drawing of the segment.
We know that the midpoint divides the segment in half. Which means that the length of the whole segment divided by 2 is equal to the length of one part of the segment
AC = AB / 2
AC = 20 / 2
AC = 10
Hope this helped!
~Just a girl in love with Shawn Mendes
How long would it take to travel 315 mi at the rate of 45 mi/h ?
O
7 h
O 270 h.
360 h
14.175 h
It would take 7 hours.
If you are going at 45 miles per hour, you need to find out how much 45 goes into 315.
To deduce this, divide 315 by 45.
315/45=7
It would take 7 hours.
Hope this helps!
Answer:
7 hours
Step-by-step explanation:
Write it out like a ratio X/315 = 1/45
Let X be hours
Cross multiply 315 x 1
and 45 x X -------> this gives you 315 = 45X
Then simply divide both sides by 45 and you get 7 hours
What is the difference of the polynomials (12x2-11y2-13x - (5x2
The difference of polynomials (12x²-11y²-13x)-(5x²-14y²-9x) is 7x² +3y²-4x
What are Polynomials ?Polynomials are sum of terms of the form kxⁿ , where k is a constant and n is any positive integer.
it is given in the question
To find the difference of the polynomials
(12x²-11y²-13x)-(5x²-14y²-9x)
to add or subtract a polynomial we subtract the like terms with same variable .
12x²-11y²-13x -5x²+14y²+9x
7x² +3y²-4x
Therefore the difference of polynomials (12x²-11y²-13x)-(5x²-14y²-9x) is 7x² +3y²-4x .
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What is the area of the triangle
Answer:
The first choice, 8.64 sq. ft.
Step-by-step explanation:
Formula for area of triangle:
(Length x Height) / 2
4.8 * 3.6 = 17.28
17.28 / 2 = 8.64
A = 8.64 sq. ft. so, the first choice
Answer:
8.42ft square
Step-by-step explanation:
Base × height/2
base=4.8ft
height =3.6ft
4.8 × 3.6= 17.28
17.28/2=8.64ft
If a (z) =2z - 7, than a ( ) = 2(x+1) - 7
The function a(z) = 2z - 7 transforms into a(x + 1) = 2x - 5 when z is replaced with the quantity (x + 1)
Explanation:The question given has a mathematical function defined as a(z) = 2z - 7. The problem is asking what the function would look like if instead z is replaced by quantity (x+1).
To solve this, replace z in the function with (x+1). As such, instead of multiplying z by 2, we are now multiplying (x+1) by 2. The equation would stand as a(x + 1) = 2(x+1) - 7. Distribute the 2 in the parenthesis, the equation simplifies to a(x + 1) = 2x + 2 - 7.
Therefore, a(x + 1) = 2x - 5 is the function when z is replaced with quantity (x + 1).
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To find a(x) when a(z) = 2z - 7, we replace z with (x+1) in the expression for a(z). Simplifying, we get a(x+1) = 2x - 5.
Explanation:To find a(x) when a(z) = 2z - 7, we replace z with (x+1) in the expression for a(z). This gives us:
a(x+1) = 2(x+1) - 7
Simplifying, we get the values as -
a(x+1) = 2x + 2 - 7
a(x+1) = 2x - 5
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Find the area and the circumference of a circle with diameter 7 ft
Answer:
A≈38.48ft²
C≈21.99ft
Step-by-step explanation:
Please mark brainliest and have a great day!
Answer:
The area is 38.5 ft² and the circumference is 21.99 or 22 ft
Step-by-step explanation:
Find the area and the circumference of a circle with diameter 7 ft,
first, Area of a circle is πr² or πd
D = 2r
7 = 7/2 = 3.5
π = 22/7
Area = πr²
A = 22/7 × (3.5)²
A = 22/7 × 12.25
A = 269.5/7
A = 38.5 ft²
Circumference of a circle is 2πd
C = 22/7 × 7
C = 154/7
C = 21.99
approximately 22.
Hope this helps!
Complete the following sentence: Two events that are mutually exclusive... ...cannot be calculated ...sometimes occur at the same time ...always occur at the same time ...never occur at the same time
Answer:
never occur at the same time
Step-by-step explanation:
In Statistics, two events that are mutually exclusive never occur at the same time. For instance, in tossing a coin we can either land heads or tails but not both. The two events are said to be mutually exclusive.
Challenge 1:
The sum of two numbers is 20, and the difference between their squares is 40. Find the numbers.
Challenge 2:
What is the number?
It is greater than 15 squared. It is not a multiple of 3 or 5, but a multiple of 4. It is less than 20
squared. It is not a multiple of 17. It is a square number.
11+9=20
(11)^2-(9)^2=40
121-81=40
40=40
A sphere has a volume of 36 π square inches. What is the exact radius?
Which equation(s) have x = –3 as the solution? log3(2x + 15) = 2 log5(8x + 9) = 2 log4(–20x + 4) = 3 logx81 = 4
Answer:
log_3(2x+15)=2 and log_4(-20x+4)=3
Step-by-step explanation:
Plug it in and see!
[tex]log_3(2x+15)=2\\log_3(2(-3)+15)=2\\log_3(-6+15)=2\\log_3(9)=2\\\text{ This is a true equation because } 3^2=9\\\\\\log_5(8(-3)+9)=2\\log_5(-24+9)=2\\log_5(-15)=2\\\\\text{ Not true because you cannot do log of a negative number }\\\\log_4(-20(-3)+4)=3\\log_4(64)=3\\\text{ this is true because } 4^3=64\\\\\\log_x (81)=4\\log_{-3}(81)=4\\\text{ the base cannot be negative }\\\\\\\\\text{ There is only two options here} \\\\log_3(2x+15)=2 \text{ and } log_4(-20x+4)=3[/tex]
Answer:
A and C
Step-by-step explanation:
A portion of a hiking trail slopes downward at about an 84° angle. To the
nearest tenth of a flot, what is the value of x, the distance the hiker traveled
along the path, if he has traveled a horizontal distance of 120 feet?
A. 143.3
B. 12.5
C. 120.7
D. 130.2
C because if you divide the angle minus the feet you get 120
The distance the hiker traveled along the path if he has traveled a horizontal distance of 120 feet is 120.7 feet.
What are the trigonometric ratios?Trigonometric ratios for a right-angled triangle are from the perspective of a particular non-right angle.
In a right-angled triangle, two such angles are there which are not right angled(not of 90 degrees).
The slanted side is called the hypotenuse.
From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called the base.
A portion of a hiking trail slopes downward at about an 84° angle.
The distance the hiker traveled along the path if he has traveled a horizontal distance of 120 feet
cos θ=adjacent/hypotenuse
Let h be the hypotenuse, adjacent =120 ft, θ = 84°,
cos 84 = 120/h
h = 120/cos 84
h = 120 / 0.10 ft
h = 120.7 ft
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Which equation represents the line that passes through ( -8, 11) and ( 4, 7/2)?
A y= -5/8x+ 6
B y= -5/8x+ 16
C y= -15/2x- 49
D y= -15/2x+ 71
Answer:
A
Step-by-step explanation:
Recall the general equation for a straight line is
y = mx + b
where m is the gradient and b is the y-intercept
given 2 points whose coordinates are (x1, y1) and (x2, y2), m can be found with the following formula:
m = [tex]\frac{y1-y2}{x1-x2}[/tex]
in this case, x1 = -8, y1 = 11, x2 = 4, y2=7/2
applying these values to the formula for m will give
m = -(5/8)
We can see immediately that the only 2 possible answers are A or B.
If we substitute this back into the general equation, we get:
y = -(5/8)x + b
In order to find the value for b, we substitute any one of the 2 given points back into this equation. Lets choose (-8,11)
11 = -(5/8) (-8) + b
11 = -(5/8) (-8) + b
11 = 5 + b
b = 6
hence A is the answer.
Which expression gives you the distance between the points (5,1)and(9,-6)
Answer:
[tex]D=\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2} }[/tex]
Step-by-step explanation:
Here we are supposed to find the distance between the two coordinates in a plane. The coordinates given to us are
(5,1) and (9,-6)
We can find the distance using distance formula. The distance formula is given as
[tex]D=\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2} }[/tex]
Where
[tex](x_{2},y_{2}) ; (x_{1},y_{1})[/tex]
are the two coordinates
Hence
[tex]x_{2} = 9 ; y_{2}= -6\\x_{1}=5; y_{1}=1[/tex]
Substituting these values in the distance formula we get
[tex]D=\sqrt{(9-5)^{2} +(-6-1)^{2}}\\D=\sqrt{(4)^{2} +(-7)^{2}}\\D=\sqrt{16+49}\\D=\sqrt{65}\\[/tex]
Hence the Distance is [tex]D=\sqrt{65}\\[/tex]
Big Bob’s Pizza is having a special on pizza and is offering two different choices:
Choice #1: One slice of pizza from a pizza with a 22 inch diameter and is cut into 8 slices. The cost is $4.95.
Choice #2: An entire personal-size pizza that has a diameter of 6 inches. The cost is $3.75.
Which choice will give you more pizza for your money? Justify your answer using numbers and words.
Answer:
The Choice N#1 will give more pizza for your money
Step-by-step explanation:
step 1
Find the area of one slice Choice #1
The area of the circle is equal to
[tex]A=\pi r^{2}[/tex]
we have
[tex]r=22/2=11\ in[/tex] ----> the radius is half the diameter
assume
[tex]\pi =3.14[/tex]
The area of one slice is equal to
[tex]A=(1/8)\pi r^{2}[/tex]
substitute
[tex]A=(1/8)(3.14)(11)^{2}[/tex]
[tex]A=47.4925\ in^{2}[/tex]
Divide the cost by the area
[tex]4.95/47.4925=0.10\frac{\$}{in^{2}}[/tex]
step 2
Find the area of the entire personal pizza Choice # 2
The area of the circle is equal to
[tex]A=\pi r^{2}[/tex]
we have
[tex]r=6/2=3\ in[/tex] ----> the radius is half the diameter
assume
[tex]\pi =3.14[/tex]
substitute
[tex]A=(3.14)(3)^{2}[/tex]
[tex]A=28.26\ in^{2}[/tex]
Divide the cost by the area
[tex]3.75/28.26=0.13\frac{\$}{in^{2}}[/tex]
therefore
The Choice N#1 will give more pizza for your money
select the correct product. (2x+9)(x+1)
For f(x)=5x−x2 , use the definition of a derivative to find f′(x)
[tex]\bf f(x)=5x-x^2\qquad \qquad \lim\limits_{h\to 0}~\cfrac{f(x+h)-f(x)}{h} \\\\[-0.35em] ~\dotfill\\\\ \lim\limits_{h\to 0}~\cfrac{[5(x+h)-(x+h)^2]~~-~~[5x-x^2]}{h} \\\\\\ \lim\limits_{h\to 0}~\cfrac{[5x+5h-(x^2+2xh+h^2)]~~-~~5x+x^2}{h}[/tex]
[tex]\bf \lim\limits_{h\to 0}~\cfrac{\begin{matrix} 5x \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}+5h~~\begin{matrix} -x^2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}-2xh-h^2~~-~~\begin{matrix} 5x +x^2\\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}}{h}\implies \lim\limits_{h\to 0}~\cfrac{5h-2xh-h^2}{h}[/tex]
[tex]\bf \lim\limits_{h\to 0}~\cfrac{\begin{matrix} h \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix} ~~(5-2x-h)}{\begin{matrix} h \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix} }\implies \lim\limits_{h\to 0}~5-2x-0\implies \lim\limits_{h\to 0}~5-2x[/tex]
what is the slope of the line (2,3) (1,-2)?
Answer: The slope is 5
Step-by-step explanation:
You can calculate the slope of the line with this fomula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Given the points (2,3) and (1,-2), you can identify that:
[tex]y_2=-2\\y_1=3\\x_2=1\\x_1=2[/tex]
Now, the final step is to substitute these values into the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex], getting that the slope of this line is:
[tex]m=\frac{-2-3}{1-2}[/tex]
[tex]m=\frac{-5}{-1}\\\\m=5[/tex]
Answer:
M = 5X
Step-by-step explanation:
use the slope of a line equation
[tex]m \: = \frac{y2 - y1}{x2 - x1} [/tex]
so plug in your x and y's
[tex] m = \frac{ - 2 - 3}{1 - 2} [/tex]
m = 5x
remember negative devided by negative is a positive. also dont forget to add your x at the end.
The measure of ∠d is 150°. What is the value of m∠b + m∠c +m∠e
A30°
B90°
C120°
D210°
Answer:
C. 120°
Step-by-step explanation:
m∠d = 150°
m∠ a = 90°
The sum of angles at a point add up to 360°
m∠b + m∠c +m∠e = 360° - (90° + 150°) = 120°
Answer:
c 120
Step-by-step explanation:
m∠d = 150°
m∠ a = 90°
The sum of angles at a point add up to 360°
m∠b + m∠c +m∠e = 360° - (90° + 150°) = 120°
Choose the simplified form of the fifth term of 6C4(2x)2(-y2)4.
You didn't give us the choices. It doesn't matter. I think you're trying to write
[tex]\displaystyle {6 \choose 4} (2x)^2 (-y^2)^4 [/tex]
[tex] = \dfrac{6!}{4! 2!} ( 4x^2 y^8)[/tex]
[tex] = \dfrac{6(5)}{2} ( 4x^2 y^8)[/tex]
[tex] =60x^2 y^8[/tex]
Answer: 60 x² y⁸
An expression is defined as a set of numbers, variables, and mathematical operations. The value of the expression ⁶C₄ (2x)² (-y²)⁴ is 60x²y⁸.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The expression can be simplified as,
⁶C₄ (2x)² (-y²)⁴
The value of the combination can be written as,
= [6!/4!(6-4)!] (2x)² (-y²)⁴
= 15 (4x²) (-y²)⁴
The value of y can be written as,
= 15 (4x²) y⁸
= 60 x²y⁸
Hence, the value of the expression ⁶C₄ (2x)² (-y²)⁴ is 60x²y⁸.
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Find the slope of the line through (–3, 2) and (6, 2)
Step-by-step Answer:
Given points: P1(-3,2), P2(6,2)
Slope given two points = (y2-y1)/(x2-x1)
= (2-2)/(6-(-3))
=0/9
= 0
Answer:
Slope = 0
Step-by-step explanation:
We are given the following points and we are to find the slope of the line which passes through these points:
[tex] ( – 3 , 2 ) [/tex] and [tex] ( 6 , 2 ) [/tex]
We know that the formula of the slope is given by:
Slope = [tex] \frac { y _ 2 - y _ 1 } { x _ 2 - x _ 1 } [/tex]
Slope = [tex] \frac { 2 - 2 } { 6 - (- 3 )} = \frac { 0 } { 9 } [/tex] = 0
Can someone help me?
s = number of students books
we know there are many student's books, so since there are "s", and each one weights 2.3 kgs, then all together must weight 2.3s, now the teacher's edition is just 1 alone so that's just 4.3 kgs.
[tex]\bf \stackrel{\stackrel{total}{weight}}{30}~~=~~\stackrel{students'}{2.3s}+\stackrel{teacher's}{4.3}+\stackrel{box's}{0.4}\implies 30=2.3s+4.7 \\\\\\ 30-4.7=2.3s\implies 25.3=2.3\implies \cfrac{25.3}{2.3}=s\implies 11=s[/tex]
Evaluate the expression |2x – 5| for x = –3 and for x = 3.
A. 3, 13
B. 13, 3
C. 11, 1
D. 1, 11
Answer:
C. 11, 1
Step-by-step explanation:
I could have sworn I already answered this. Oh well. I guess I can answer it again. Simply plug in -3 and 3 for x, then find the absolute value [ALWAYS POSITIVE].
Myles is tracking the growth of his palm tree. It was 62 inches when he bought it, and it has grown 6 inches per year.
What does the initial value represent?
Answer:
The height the tree was when brought
input value: 0
Output value: 62
Step-by-step explanation:
The initial value represents the height, the tree was when bought.
Given that,
Myles is tracking the growth of his palm tree. It was 62 inches when he bought it, and it has grown 6 inches per year.Based on this, we can say that the initial value defines the height basically the tree at the time of purchased.
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Which geometic construction is shown below?
Answer:
AStep-by-step explanation:
Answer:
the answer is doubling the square on anywhere brainiest pls
Step-by-step explanation:
Help me with this question thanks:)
Answer:
see below
Step-by-step explanation:
3 > w/2
Multiply each side by 2
2*3 > w/2 *2
6 > w
w < 6
There is an open circle at 6 since there is no equal sign
The line goes to the left since w is less then 6
Which linear equal what is represented by the graph
Answer:
It is the third option.
Step-by-step explanation:
First, the shaded part is above the line, so there must be a y>, ruling out two of our options. so now, the slope of the line is the only missing item. Use the points (0,3) and (3,5). m=(y2-y1)/(x2-x1), so m = -2/-3, which simplifies to 2/3. Therefore, y>2/3x + 3 is your answer.
Hope this helps!
I don’t really understand can y’all pls help me
[tex]\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \left( 5^{\frac{3}{2}} \right)^{-\frac{2}{3}}\implies 5^{-\frac{3}{2}\cdot \frac{2}{3}}\implies 5^{-1}\implies \cfrac{1}{5}\implies 0.2 \\\\[-0.35em] ~\dotfill[/tex]
[tex]\bf (256^{0.5})^{1.25}\implies [(2^8)^{0.5}]^{1.25}\implies [2^{8\cdot 0.5}]^{1.25}\implies [2^4]^{1.25}\implies 2^{4\cdot 1.25} \\\\\\ 2^5\implies 32 \\\\[-0.35em] ~\dotfill\\\\ ( 81^{-\frac{1}{6}} )^{\frac{3}{2}}\implies [(3^4)^{-\frac{1}{6}} ]^{\frac{3}{2}}\implies 3^{4\cdot -\frac{1}{6}\cdot \frac{3}{2}}\implies 3^{-\frac{12}{12}}\implies 3^{-1} \\\\\\ \cfrac{1}{3}\implies 0.33...[/tex]
Normal throttle position voltage on most vehicles is about 0.5 volt at idle (closed throttle) and about _______ volts at wide-open throttle (WOT).
A. 1.5 to 2.8
B. 13.5 to 15.0
C. 4.5
D. 2.5
Answer:
C. 4.5
Step-by-step explanation:
Normal throttle position voltage on most vehicles is about 0.5 volt at idle (closed throttle) and about 4.5 volts at wide-open throttle (WOT).
Answer:C. 4.5
Step-by-step explanation:
Normal throttle position voltage on most vehicles is about 0.5 volt at idle (closed throttle) and about _______ volts at wide-open throttle (WOT).
C. 4.5
write the standard equation of a circle that is tangent to the x-axis with the center located at (2,4)
Answer:
Step-by-step explanation:
radius=4 as it is tangent to x-axis.
y co-ordinate of center is 4 so radius=4
eq. of circle is (x-2)²+(y-4)²=4²
or x²-4x+4+y²-8y+16=16
or x²+y²-4x-8y+4=0
Final answer:
The standard equation of a circle tangent to the x-axis with center (2,4) is (x - 2)² + (y - 4)² = 16.
Explanation:
To write the standard equation of a circle that is tangent to the x-axis with the center located at (2,4), we must recognize that the distance from the center of the circle to the x-axis is equal to the radius of the circle. Since the center is at (2,4), the distance to the x-axis (which is y=0) is 4 units; thus, the radius of the circle is 4.
The standard form of the equation of a circle with center (h,k) and radius r is (x - h)² + (y - k)² = r². Substituting the given center (2,4) and the radius 4 into this formula, we get:
(x - 2)² + (y - 4)² = 4²
Simplifying the radius squared term, we obtain the final equation:
(x - 2)² + (y - 4)² = 16