Answers
Answer: cotθ
Step-by-step explanation:
tanθ * cos²θ * csc²θ
= [tex]\dfrac{sin\theta}{cos\theta} * \dfrac{cos\theta*cos\theta}{} *\dfrac{1}{sin\theta*sin\theta}[/tex]
= [tex]\dfrac{cos\theta}{sin\theta}[/tex]
= cotθ
Answer: B
Step-by-step explanation:
The parent graph is y = x²
The new graph y = -x² + 3 should have the following:
reflection over the x-axisvertical shift up 3 unitsAnswers:
a. Quadrant IIb. negativec. [tex]\dfrac{\pi}{6}[/tex]d. Ce.[tex]-\dfrac{\sqrt{3}}{3}[/tex]Explanation:
[tex]\dfrac{17\pi}{6} - \dfrac{12\pi}{6} = \dfrac{5\pi}{6}[/tex]
a) Quadrant 2 is: [tex]\dfrac{\pi}{2} < \theta < \pi[/tex]
b) In Quadrant 2, cos is negative and sin is positive, so tan is negative
c) [tex]\pi-\dfrac{5\pi}{6}[/tex] = [tex]\dfrac{\pi}{6}[/tex]
d) the reference line is above the x-axis so it is negative --> [tex]-tan\dfrac{\pi}{6}[/tex]
e) [tex]tan(\dfrac{5\pi}{6})=\dfrac{1}{-\sqrt{3}}=-\dfrac{\sqrt{3}}{3}[/tex]
Related Questions
which best describes the expression 12/a + 2a - 8?
a. monomial
b. binomial
c. trinomial
d. not a polynomial
Answers
Final answer:
The expression 12/a + 2a - 8 is not a polynomial because it contains a variable in the denominator, thus violating the definition of polynomials that only allow non-negative integer exponents.
Explanation:
The expression 12/a + 2a - 8 is best described as an option (d), not a polynomial because it contains a term with a variable in the denominator (12/a). Polynomials are algebraic expressions that consist only of non-negative integer powers of the variable. In this case, the term 12/a has a variable 'a' in the denominator, which implies a negative exponent if it were to be written with only the variable in the numerator. This is why the expression does not fit the definition of a polynomial.
It is recommended that an adult drink 64 fluid ounces of water everyday Josie has already consumed 700 mL of water how many more liters should he drink today
Answers
Answer:
1.2 litres more water should Josie drink.
Step-by-step explanation:
As given
It is recommended that an adult drink 64 fluid ounces of water everyday .
As given
1 ounce = 0.0296 litre .
Now convert 64 ounces into litre.
64 ounce = 64 × 0.0296
= 1.9 litres (Approx)
As
1 litre = 1000 ml
[tex]1\ ml= \frac{1}{1000}\ litre[/tex]
Now convert 700 ml into litre.
[tex]700\ ml= \frac{700}{1000}\ litre[/tex]
[tex]700\ ml= \frac{7}{10}\ litre[/tex]
700 ml = 0 .7 litre
Thus
Recommended amount of water a adult should drink = Amount of water Josie already consumed + More water should Josie drink.
Putting the value
1.9 litres = 0 .7 litres + More water should Josie drink.
More water should Josie drink = 1.9 - 0.7
More water should Josie drink = 1.2 litres .
Therefore 1.2 litres more water should Josie drink.
sample size n=150 are randomly selected from the U.S. census data, and the income range is found for each sample. What is the distribution of the sample ranges?
A: normal (approximately)
B: not enough information provided
C: skewed to the right
D: skewed to the left
Answers
If M is perpendicular to N and L ll M then _____
N ll O
L is perpendicular to P
L is perpendicular to N
N ll P
Answers
Answer:
L is perpendicular to N
Step-by-step explanation:
M is perpendicular to N
L ll M
We can replace M with L since they are parallel
L is perpendicular to N
Answer:
Option C
Step-by-step explanation:
It is given that M is perpendicular to N and L ║ M
Since M ║L
and N is perpendicular to line M So L will be perpendicular to N.
That means N will be perpendicular transverse of both the parallel lines M and L
Option C is the answer.
Marsha wants to determine the vertex of the quadratic function f(x)=x^2-x+2. What is the function's vertex?
Answers
Answer:
vertex = ( [tex]\frac{1}{2}[/tex], [tex]\frac{7}{4}[/tex])
Step-by-step explanation:
given a quadratic in standard form : ax² + bx + c : a ≠ 0
the x- coordinate of the vertex can be found as
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
f(x) = x² - x + 2 is in standard form
with a = 1, b = - 1 and c = 2
[tex]x_{vertex}[/tex] = - [tex]\frac{-1}{2}[/tex] = [tex]\frac{1}{2}[/tex]
substitute this value into the function for the y-coordinate
y = ([tex]\frac{1}{2}[/tex])² - [tex]\frac{1}{2}[/tex] + 2 = [tex]\frac{7}{4}[/tex]
vertex = ( [tex]\frac{1}{2}[/tex], [tex]\frac{7}{4}[/tex])
Carmen wins $35 in the contest tubes of her favorite brand of paint cost $4.80 each paint brushes cost $6.70 each. How many tubes of paint can Carmen buy with her winnings and still have enough left for 2 brushes explain how you found the answer
Answers
Carmen can buy 4 tubes of paint at $4.80 each after purchasing 2 paint brushes at $6.70 each from her $35 winnings.
Carmen won a prize of $35 in a contest. To answer how many tubes of her favorite paint brand she can buy, first, we need to deduct the cost of the two paint brushes she needs, which are $6.70 each. The total cost for two brushes is:
2 brushes x $6.70 per brush = $13.40
Subtracting this amount from her winnings:
$35.00 - $13.40 = $21.60 remaining
Now, we divide the remaining money by the cost of each tube of paint, which is $4.80, to find out how many tubes she can purchase:
$21.60 / $4.80 per tube = 4.5 tubes
Since Carmen cannot buy half a tube, she can buy 4 tubes of paint and will have some money remaining.
Find the missing value when given the modulus.
|48+bi|=50
Answers
Answer:
missing value b is 14
Step-by-step explanation:
We have been given the modulus of a complex number which is
[tex]r=\sqrt{a^2+b^2}[/tex]
Here on comparing the given complex number with general a+bi we get:
a=48 and b=b
On substituting the values in the formula for modulus we get:
[tex]\sqrt{48^2+b^2}=50[/tex]
[tex]\Rightarrow 2304+b^2=50^2[/tex]
[tex]\Rightarrow b^2=2500-2304[/tex]
[tex]\Rightarrow b^2=196[/tex]
[tex]\Rightarrow b=\sqrt{196}[/tex]
[tex]\Rightarrow b=14[/tex]
Therefore, missing value b is 14
Answer: 14
Step-by-step explanation:
Edg 2021
At basketball practice,charle made 52 baskets out of 80 what percent of the baskets did he make
Answers
[tex] \frac{52}{80} = \frac{13}{20} [/tex]
[tex] \frac{13}{20} \times 100[/tex]
Greatest common factor of 35 and 39
Answers
Answer:
The GCF of 35 and 39 is 1.
Step-by-step explanation:
Factors of 35: 1, 5 and 7
Factors of 39: 1, 3, 13
1 is the only factor that these numbers have in common.
Hope this helps!
Answer:
35 - 1, 5, 7
39 - 1, 3, 13
the greatest common factor will be 1
hope this helps
Step-by-step explanation:
At a baseball game, a vender sold a combined total of 240 sodas and hot dogs. The number of sodas sold was two times the number of hot dogs sold. Find the number of sodas and the number of hot dogs sold.
Answers
Answer:
160 Sodas
80 Hot Dogs
Step-by-step explanation:
240=2x+x Given
240=3x Simplify
80=x Divide by 3
Now you would plug in the variable to solve
2(80) or 160 Sodas
(80) Hot Dogs
Restrict the domain of the function f(x)=(x-2)to the power of 2 so it has an inverse. Then determine its inverse function.
Answers
Answer:
Step-by-step explanation:
Given is a function
[tex]f(x) =(x-2)^2[/tex]
This function is a parabola with vertex at (2,0) and axis of symmetry is x=2
Hence for x<2 the curve would be reflection of x>2
To get inverse we must get one to one funciton only.
So restrict the domain of f(x) to [tex][2,∞)[/tex]
Then we have f(x) as one to one with domain x≥2 and range is R+
[tex]f^{-1} (x)=+\sqrt{x} +2[/tex]
For this inverse domain is R+ and range is [tex][2,∞)[/tex]
Answer:
restriction of domain is x>=2
[tex]f^{-1}=\sqrt{x}+2[/tex]
Step-by-step explanation:
Restrict the domain of the function [tex]f(x)=(x-2)^2[/tex] so it has an inverse
To restrict the domain we find the vertex
VErtex form of the equation is
[tex]y=(x-h)^2+k[/tex] vertex is (h,k). restriction of domain is x>=h
[tex]f(x)=(x-2)^2+0[/tex] , vertex is (2,0)
So restriction of domain is x>=2
now we find inverse function
[tex]f(x)=(x-2)^2[/tex]
Replace f(x) with y
[tex]y=(x-2)^2[/tex]
Replace x with y and y with x
[tex]x=(y-2)^2[/tex]
To remove square we take square root on both sides
[tex]\sqrt{x} =y-2[/tex]
Add 2 on both sides
[tex]\sqrt{x}+2 =y[/tex]
[tex]f^{-1}=\sqrt{x}+2[/tex]
PLEASE HELP WILL GIVE BRAINLIEST TO CORRECT ANSWER
What is the equation of this line in slope-intercept form?
A. 5y = 4x
B. y = 4x - 5
C. 4x - 5y = 0
D. y = 4/5x
Answers
Answer:
D. y = 4/5x
Step-by-step explanation:
Equations A and C are not in slope-intercept form.
Equation B has a y-intercept of -5, which the graph does not.
The only viable choice is D.
Lea walked 12 mile in 13 hour. HELP ASAP!!!
How long will it take Lea to walk 214 miles?
Enter your answer as a mixed number in simplest form in the box.
hours
Answers
2 miles=80 minutes
1/4= 10 minutes i think
so 80+10=1 1/2
Answer:
1 1/2 hours
Step-by-step explanation:I took the test
Venla is 5 years older than her cousin Kora. How old is Kora when Venla is 18 years old?
Answers
Answer:
kora is 13
Step-by-step explanation:
venla is 5 years older than kora
18-5=13
Answer: The Equation answer is V=k+5
how old is kora when venla is 18 years old? Is 13 years old
Step-by-step explanation:
Use the binomial theorem to expand (d-4b)^3
Please explain.
Answers
Answer:
d^3 - 12d^2 b + 48db^2 - 64b^3
Step-by-step explanation:
(d - 4b)^3
First term: [3!/(3 - 0!)*0!] = 3!/(3!)*1 = 1 First term: d^(3 - 0)*(4b)^0First term: d^3======================
Second Term 3!/(3 -1 )!*1! * d^(3-1)*(-4b)^1Second term 3 * d^2*(-4b)Second term - 12d^2 * b======================
Third term 3!/[(3 - 2)!2!] * d^(3 - 2) (-4b)^2Third term 3*d*16 b^2Third term 48 db^2======================
Last term 3!/[(3 - 3)!(3!) ] * d^(3 - 3) (- 4b)^(3)Last term 1*d^0*(-64b^3)Last term - 64b^3Explanation
The general term of the binomial expansion is
Combination
[n! / (n - k)! k! ]
This means for the second term that k = 2 and n = 3
So the expansion becomes
3!/(3 - 1)!*1!
3!/1! 2!
3
Descending powers
In the second term
k = 1 ; n = 3
d^(n - k)*(-4b)^k
d^(3-1 ) * (- 4b)^(1)
d^2 * (-4b)^1
- 4 d^2 * b
Of course you have to put this together with the three
- 12 d^2 * b^1 or - 12d^2b
I know this looks awful (and it really is) but if you want the 5th term of (a - 2b)^10, you would go crazy trying to do this by expanding the binomial 10 times. So practice every one of these. Eventually it becomes mechanical. Mr. Miagi (karate kid) would say "Teacher teach. Pupil do."
Answer:
d^3 - 12d^2 b + 48db^2 - 64b^3
(d - 4b)^3
First term: [3!/(3 - 0!)*0!] = 3!/(3!)*1 = 1
1*d^(3 - 0)*(4b)^0
1*d^(3)*(4b)^0
1*d^(3)=d^(3)
d^(3)*(4b)^0
d^3
Second Term 3!/(3 -1 )!*1! * d^(3-1)*(-4b)^1
Second term 3 * d^2*(-4b)
Second term - 12d^2 * b
Third term 3!/[(3 - 2)!2!] * d^(3 - 2) (-4b)^2
Third term 3*d*16 b^2
Third term 48 db^2
Last term 3!/[(3 - 3)!(3!) ] * d^(3 - 3) (- 4b)^(3)
Last term 1*d^0*(-64b^3)
Last term - 64b^3
You want to buy a new cell phone. The sale price is $149 $ 149 . The sign says that this is $35 $ 35 less than the original cost. What is the original cost of the phone?
Answers
149+
On Monday at The county fair Jared played a game and won 75 tickets on Tuesday he won 105 tickets on Wednesday he won 127 but then spent 250 of them on a prize. How many more tickets does Jared need to win to get a prize that costs 150 tickets
Answers
Answer: 93
Step-by-step explanation:
NOTE: "won" means add, "spent" means subtract
Monday: + 75
Tuesday: Monday + 105 = 75 + 105 = 180
Wednesday: Tuesday + 127 - 250 = 180 + 127 - 250 = 57
Jared has 57 but needs 150
150 - 57 = 93Jared needs 93 more tickets to get a prize(75+105)+127= 307
307-250=57
jared has 57 tickets he wants to 150 ticket prize
57-150=93
Jared needs 93 tickets to get the prize
Write a linear equation that passes through the points (-3,3) and (9,-13)
please help!
Answers
The equation of the line that passes through the given points is 3y + 4x = -3
From the question,
We are to determine the equation of the line that passes through the points (-3,3) and (9,-13)
The equation can be determined by using the formula for calculating the equation of a line with two given points.
The formula for determining the equation of a straight line with two given points (x₁, y₁) and (x₂, y₂) is
[tex]\frac{y-y_{1} }{x-x_{1} } = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
From the question,
x₁ = -3
y₁ = 3
x₂ = 9
y₂ = -13
Putting the parameters into the formula, we get
[tex]\frac{y-3}{x--3}= \frac{-13-3}{9--3}[/tex]
This becomes
[tex]\frac{y-3}{x+3} = \frac{-16}{12}\\[/tex]
Then,
[tex]\frac{y-3}{x+3}=\frac{-4}{3}[/tex]
This becomes
[tex]3(y-3) = -4(x+3)[/tex]
Clearing the brackets, we get
[tex]3y -9 = -4x -12[/tex]
[tex]3y+4x= -12 +9[/tex]
[tex]3y +4x =-3[/tex]
Hence, the equation of the line that passes through the given points is 3y + 4x = -3
Learn more here: https://brainly.com/question/18643171
The linear equation that passes through the points (-3,3) and (9,-13) can be found by first calculating the slope (m) using the formula (y2 - y1) / (x2 - x1), giving m = -4/3. Next, substitute one of the points and the slope into the slope-intercept form of a linear equation, y = mx + b, to solve for the y-intercept (b), resulting in b = -1. Thus, the desired linear equation is y = -4/3x - 1.
Explanation:To write a linear equation that passes through two points (-3,3) and (9,-13), we first need to find the slope (m) of the line. The formula to find the slope is (y2 - y1) / (x2 - x1), where (x1,y1) and (x2,y2) are the coordinates of the two points. Therefore, m = (-13 - 3) / (9 - (-3)) = -16/12 = -4/3.
Next, we use the slope-intercept form of a linear equation, y = mx + b where 'm' is the slope, and 'b' is the y-intercept. We can substitute one of our points and the slope into this equation to solve for b. Let's use the point (-3,3). So, 3 = (-4/3)*(-3) + b. This simplifies to 3 = 4 + b. Solving for b gives b = 3 -4 = -1.
Therefore, the linear equation that passes through the points (-3,3) and (9,-13) is y = -4/3x - 1.
Learn more about Linear Equation here:https://brainly.com/question/32634451
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Solve for L: P = 2L + 2W
A L = P – 2W
B L is equal to P minus 2W all over 2
C L = 2(P – 2W)
D L = P – 2L – W
Answers
Answer:
B L is equal to P minus 2W all over 2
Step-by-step explanation:
P = 2L + 2W
We want to isolate L.
The first step is to subtract 2W from each side.
P-2W = 2L + 2W-2W
P-2W = 2L
Now divide each side by 2
(P-2W)/2 = 2L/2
(P-2W)/2 = L
anybody can help me with math??? "Graphing Radical Functions"
Answers
Answer:
im pretty sure its 1b 2a 3d 4c for the first row... if im reading it right. second row is 5c 6b 7a 8d i think. third row is 9b 10d 11a 12c. hope it helped :)
Step-by-step explanation:
i just plugged the functions into the y= in the calculator. i have the ti-84 plus ce calculator, but if you dont you can use one online
Find BE
Is a regular pentagon
Answers
Answer:
BE =40
Step-by-step explanation:
Since this is a regular pentagon
BE = BD
3x+4 = 2x+16
Subtract 2x from each side
3x-2x +4 = 2x-2x+16
x+4 = 16
Subtract 4 from each side
x+4-4 = 16-4
x =12
We want to know the length of BE
BE = 3x+4
x=12 so we can substitute it in
3(12) +4
36+4
40
BE =40
In a group of 40 children, 14 are allergic to peanuts. What percentage of the group are allergic to peanuts?
Answers
Answer:
35%
Step-by-step explanation:
So we can write that 14/40 of the group is allergic to peanuts. So 7/20 of the group are allergic or 35/100.
Rita stared the day with R apps. Then she deleted 5 apps and still had twice as many apps as Cora has. Write the equation that represents the number of apps each girl has.
Answers
Answer:
[tex]R-5=2C[/tex]
Step-by-step explanation:
Let C be the number of apps that Cora have.
We are told that Rita stared the day with R apps. Then she deleted 5 apps. So Rita is left with R-5 apps.
We are also told that after deleting 5 apps Rita still had twice as many apps as Cora has. We can represents this information as:
[tex]R-5=2C[/tex]
Therefore, the equation [tex]R-5=2C[/tex] represents the number of apps each girl has.
Answer:
Rita :R = 2C+5
Cora: C = (R-5)/2
Step-by-step explanation:
Hi, to answer this question we have to write an equation.
Rita has R apps and deletes 5, it means we have to subtract 5 to R. (R-5)
After that she has twice as many apps as Cora has. So, the previous expression is equal to the number of apps that Cora has (C) multiplied by 2.
The whole equation:
2C = R-5
For each girl we have to solve for each variable:
Rita's apps:
2C = R-5
2C+5 =R
R = 2C+5
Cora's apps:
2C = R-5
C = (R-5)/2
Convert $6.00 (US Dollars) to £ (British Pounds Sterling) at an exchange rate of $1= £0.60
Answers
Answer:
3.60 pounds
Step-by-step explanation:
exchange rate of 1:.6 meaning .60 6 times,
2 is 1.20, 4 would be 2.40, meaning 6 is 3.60 pounds
Eff had a lemonade stand and ended up with 5 times as much money at the end of the day than at the beginning of the day. He ended the day with $110. How much did he start with?
Answers
Eff started his lemonade stand with $22 and ended the day with $110, having earned five times his starting amount.
Eff started his day with a certain amount of money and ended up with $110 at the end of the day after earning five times the amount he started with. To calculate the amount Eff started with, we need to set up a simple equation based on the given information. Let x represent the amount of money Eff had at the beginning of the day. The relationship can be expressed as:
5x = $110
Divide both sides of the equation by 5 to find the starting amount:
x = $110 / 5
x = $22
Therefore, Eff started the day with $22.
What is the value of Y
Answers
Answer:
the answer is 55
Step-by-step explanation:
all angles have to equal up to 180.
55+30=85
85+40=125
180-125=55
HELPP PLSS
what is the measure of xz
Answers
Answer:
D = 130
Step-by-step explanation:
We can use the formula
<Y = 1/2 (big arc XZ - little arc XZ)
50 = 1/2 ( 230- XZ)
Multiply by 2 on each side
100 = 230-XZ
Subtract 230 from each side
100-230 = 230-230 -XZ
-130 = -XZ
Multiply each side by -1
-1*-130 = -1 * -XZ
130 = XZ
Answer:
D. the measure of xz is 130 degrees
Step-by-step explanation:
The correct answer is 130 degrees
Factor this expression. ab + 2a + 3b + 6.
Answers
a(b+2)+3( b+2)
Factor the polynomial by factoring out the greatest common factor, b+2
(b+2)(a+3)
What is the interquartile range of this data set 2,5,9,1118,30,42,55,58,73,81
Answers
Answer:
49
Step-by-step explanation:
If so the inter quartile range = 58 - 9 = 49
Answer:
the answer would be 49 i hope this helps
Step-by-step explanation:
Help please ?
The function c(t)=8t+10 gives the amount c (in dollars) that you pay when you rent a kayak flr $10 and use it for time t (in hours). Write AND Interpret that inverse of this function
Answers
Answer:
[tex]t(c)=\frac{t-10}{8}[/tex] determines the time you used the kayak for at a specific cost you paid.
Step-by-step explanation:
The inverse of a function, is the function or rule formed by reflecting the line over y=x. This means essentially that all (x,y) values from the original function switch to (y,x).
(x,y)--->(y,x) in the new function.
If the function has points (-3,4) and (5,-2) then the inverse has points (4,-3) and (-2, 5).
For the original function, we used the time we had the kayak to compute the cost. For 3 hours, it cost c(3)=8(3)+10=$34. (3,34) for (t,c).
For the inverse, we will find the time we had the kayak for a specific cost. To write it we switch input(x) and output(y) and solve for y.
y=8x+10
x=8y+10
x-10=8y
[tex]\frac{x-10}{8} =y[/tex]
This is the inverse function, We replace (x,y) with (c,t).
[tex]t(c)=\frac{t-10}{8}[/tex]