Let's call C the point on K(O) and segment AO. I assume you're aware of a 'secant tangent angle theorem', where if you know the measure of arc BC you can solve for angle BAD. Since CD is a diameter of the circle, the measure of arc CD is 180 degrees - with this you can easily find the measure of all arcs of the circle then apply the theorem
Topic: Labor Economics.
Need solution for tasks 4 4.1 4.2 4.3
The curves of the labor market are illustrations of demand and supply, and the curves are all linear functions
4.1: The graph of the curves of the labor marketThe equations are given as:
D = 36 - 2W
S₁ = 9 + W ---- domestic (i.e. without immigrants)
S₂ = 10 + 2W ---- total (i.e. including immigrants)
See attachment for the graph
4.2: The equilibrium wage rate before immigrationThis is the point of intersection between the curves of S₁ and D.
From the graph, we have:
(W, D) = (9,18)
Hence, the equilibrium wage rate before immigration is $9, and the number of workers that would be hired is 18
4.3: The equilibrium wage rate after immigrationThis is the point of intersection between the curves of S₂ and D.
From the graph, we have:
(W, D) = (6.5,23)
Hence, the equilibrium wage rate after immigration is $6.5, and the number of workers that would be hired is 23
4.3.1: Number of domestic workers hiredSubstitute 6.5 for W in S₁ = 9 + W
S₁ = 9 + 6.5
S₁ = 15.5
Remove decimal
S₁ = 16
Hence, the number of domestic workers that would be hired is 16
4.3.1: Number of immigrants hiredSubstitute 6.5 for W in S₂ = 10 + 2W
S₂ = 10 + 2 * 6.5
S₂ = 23
Subtract S₁ = 16 from S₂ = 23
Immigrants = 23 - 16
Immigrants = 7
Hence, the number of immigrants that would be hired is 7
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A theater has 1200 seats. Each row has 20 seats. Write and solve an equation to find the number x of rows in the theater.
An equation that represents this problem is
=1200.
There are
? rows in the theater.
FIND THE AREA PLEASE HELP ILL GIVE BRAINLIESTTTT
Answer:
53.2 square feet
638.4 square inches
Step-by-step explanation:
The formula for area of parallogram is l x w.
91.2 inches to feet is 7.6 feet.
7.6 is the width and 7 is the length.
7.6 x 7 = 53.2
The best translation for Zimbabwe is:
A. The Temple of God
B. The Ruler on High
C. The House of Rock
D. The Children of the Sun
Answer:
Zimbabwe is a Bantu word for stone houses so the answer is C
Joe read 140 pages of his 300- page book. What percent of the book has he read?
Answer:
47 percent
Step-by-step explanation:
140/300divide by 347/100percentages are out of 100 so it is 47Is the discriminant of g positive, zero, or negative?
Answer:
the discriminant of g positive
Step-by-step explanation:
the discriminant of g positive because the graph of g cross the x-axis in two points.
Meade gave 1/7 of a candy bar to Max and then ate 2/5 of the candy bar himself. What fraction of the candy bar is left?
There is ______ of the candy bar left
Let's break this problem into a few steps:
First, Meade gave 1/7 of candy to Max⇒ Amount of Candybar: Candy - (1/7)Candy = (6/7)Candy
Second, Meade ate 2/5 of the candy⇒ Amount of Candy left:
Total amount of candy - (2/5) * Total amount of candy
= (6/7) Candy - (2/5) *(6/7)Candy
= (1 - (2/5)) * (6/7) Candy
= 3/5 * 6/7 = 18/35 Candy
Thus there is 18/35 of the candy left.
Your annual salary is $60,000. What is your semimonthly salary? What is your biweekly salary?
Answer:
2,307.69 per biweekly paycheck and 2,500 per semi monthly paycheck
Step-by-step explanation:
If you didn't already know, monthly pay has 12 paychecks, semi-monthly pay has 24 paychecks, biweekly pay has 26 paychecks, and weekly pay has 52 paychecks. If you break down 60k into these paychecks, here are the results: $60,000/12 equals $5,000 (monthly pay) $60,000/24 equals $2,500 (semi-monthly pay)
hope this helps
4 Jackson's mom limits the amount of time he is allowed to play video games. After
Jackson plays for 9 minutes, his mom tells him that he has used up 30% of his time.
How many more minutes can Jackson play before he uses all of his time?
Show your work.
Answer Jackson can play
more minutes.
Answer:
Jackson can play for 21 more minutes.
Step-by-step explanation:
If 9 minutes = 30% or 0.3
then we can set up a ratio to cross multiply.
(9/30) = (x/100)
then croos multiply and divide to isolate and solve for x.
(9 * 100) / 30 = 30
That means 100% of Jackson's time is 30 minutes.
30 - 9 = 21. So jackson can play for 21 more minutes before he uses all of his time.
But by the time he figures all of this out he'll probably have to turn it off anyways :)
The model n(T)= 2^t represents the number of bacteria in a petri dish after c hours
where t= 0 represents the time when the bacteria were first put into the dish.
What is the correct value and interpretation of n (10)
Answer:
1024
Step-by-step explanation:
n(10) =2^10
n(10) = 1024
THIS IS MY SISTER LAST QUESTION TAKE YOUR TIME1
Answer:
B
Step-by-step explanation:
[tex][(8+15) \times 3] \div 3\\= \frac{(8+15) \times 3}{3}\\= \frac{8 + 15}{1}\\= 8 + 15 = 23[/tex]
Repost-9 TOTAL QUESTIONS
#19 (LAST PICTURE)
Which of the following shows a graph of a tangent function in the form y = atan(bx − c) + d, such that b = 2? (Two graphs below, I think one of these graphs are correct)
Answer:
See below for answers and explanations
Step-by-step explanation:
Problem 1 (#3)
The formula for a regular octagon inscribed in a circle of radius [tex]r[/tex] is [tex]A=2\sqrt{2}r^2[/tex]. Hence, [tex]A=2\sqrt{2}(4)^2=16*2\sqrt{2}=32\sqrt{2}\approx45.255m^2[/tex].
Thus, C is the correct answer
Problem 2 (#4)
Using the co-function identity [tex]\displaystyle \sin\biggr(x+\frac{\pi}{2}\biggr)=\cos(x)[/tex], the equation can be rewritten as [tex]cos(x)=\frac{\sqrt{3}}{2}[/tex]. Using a unit circle, it's easy to see that the answer is [tex]\displaystyle\biggr\{\frac{\pi}{6},\frac{11\pi}{6}\biggr\}[/tex].
Thus, C is the correct answer
Problem 3
[tex]f(x)=g(x)\\\\2\sin^2 x-1=-\cos(x)\\\\2(1-\cos^2 x)-1=-\cos(x)\\\\2-2\cos^2 x-1=-\cos(x)\\\\1-2\cos^2 x=-\cos(x)\\\\2\cos^2x-\cos(x)-1=0[/tex]
Let [tex]u=\cos(x)[/tex], hence:
[tex]2u^2-u-1=0\\\\(2u+1)(u-1)=0[/tex]
[tex]\displaystyle2u+1=0\\\\2u=-1\\\\u=-\frac{1}{2}\\ \\\cos(x)=-\frac{1}{2}\\ \\x=\biggr\{\frac{2\pi}{3},\frac{4\pi}{3}\biggr\}[/tex]
[tex]u-1=0\\\\u=1\\\\\cos(x)=1\\\\x=\{0\}[/tex]
So, the solution set is [tex]\displaystyle\biggr\{0,\frac{2\pi}{3},\frac{4\pi}3}\biggr\}[/tex]
Thus, B is the correct answer
Problem 4 (#8)
If we construct a right triangle in Quadrant I with an opposite leg length of 1 unit and an adjacent leg length of 1 unit, this shows that [tex]\displaystyle\tan\theta=\frac{opposite}{adjacent}=\frac{1}{1}=1[/tex]. Since [tex]\displaystyle \csc\theta=\frac{1}{\sin\theta}[/tex] and [tex]\displaystyle\sin\theta=\frac{opposite}{hypotenuse}[/tex], we must solve for the hypotenuse with the Pythagorean Theorem:
[tex](opposite)^2+(adjacent)^2=(hypotenuse)^2\\1^2+1^2=(hypotenuse)^2\\1+1=(hypotenuse)^2\\2=(hypotenuse)^2\\\sqrt{2}=hypotenuse[/tex]
Therefore, since [tex]\displaystyle \sin\theta=\frac{opposite}{hypotenuse}=\frac{1}{\sqrt{2}}=\frac{\sqrt{2}}{2}[/tex], then [tex]\displaystyle \csc\theta=\frac{1}{\sin\theta}=\frac{1}{\frac{\sqrt{2}}{2}}=\frac{2}{\sqrt{2}}=\frac{2\sqrt{2}}{2}=\sqrt{2}[/tex].
Thus, B is the correct answer
Problem 5 (#9)
As no angles are given and only side lengths, we are forced to use the Law of Cosines to solve for the angles:
Side "a" will be the distance from A to B with corresponding angle ASide "b" will be the distance from B to C with corresponding angle BSide "c" will be the distance from C to A with corresponding angle CAngle A:
[tex]a^2=b^2+c^2-2bc\cos(A)\\400^2=500^2+600^2-2(500)(600)\cos(A)\\160000=250000+360000-600000\cos(A)\\160000=610000-600000\cos(A)\\-450000=-600000\cos(A)\\\frac{3}{4}=\cos(A)\\ A\approx41.410^\circ[/tex]
Angle B:
[tex]b^2=a^2+c^2-2ac\cos(B)\\500^2=400^2+600^2-2(400)(600)\cos(B)\\250000=160000+360000-480000\cos(B)\\250000=520000-480000\cos(B)\\-270000=-480000\cos(B)\\\frac{9}{16}=\cos(B)\\B\approx55.771^\circ[/tex]
Angle C:
By the Triangle Angle-Sum Theorem, [tex]C\approx82.819^\circ[/tex]
Hence, we can conclude that angle A is the smallest angle the swimmers must turn between the buoys.
Thus, C) 41.410° is the correct answer
Problem 6 (#unknown)
As we are given two angles and a side length, we can use the Law of Sines to find side length "b". Firstly, we need angle C so we can set up the proportion to find "b". By the Triangle Angle-Sum Theorem, [tex]m\angle C=60^\circ[/tex].
[tex]\frac{\sin(B)}{b}=\frac{\sin(C)}{c}\\\\\frac{\sin(64^\circ)}{b}=\frac{\sin(60^\circ)}{8}\\\\8\sin(64^\circ)=b\sin(60^\circ)\\\\b=\frac{8\sin(64^\circ)}{\sin(60^\circ)}\\ \\b\approx8.303[/tex]
Thus, B is the correct answer (how ironic lol)
Problem 7 (#13)
[tex]\displaystyle\sqrt{2}\cos2x=\sin^2x+\cos^2x\\\\\sqrt{2}\cos2x=1\\\\\cos2x=\frac{1}{\sqrt{2}}\\\\\cos2x=\frac{\sqrt{2}}{2}\\ \\2x=\frac{\pi}{4},\frac{7\pi}{4}\\ \\x=\frac{\pi}{8},\frac{7\pi}{8}[/tex]
Hence, B is the correct answer
Problem 8 (#14)
[tex]\displaystyle \sec\theta=2\\\\\frac{1}{\cos\theta}=2\\ \\\cos\theta=\frac{1}{2}\\ \\\theta=\frac{\pi}{3}+2\pi n,\frac{5\pi}{3}+2\pi n[/tex]
Thus, D is the correct answer
Problem 9 (#19)
The bottom graph looks correct as the period of the tangent function is [tex]\frac{\pi}{|b|}=\frac{\pi}{2}[/tex].
Express q(x)=12x^5+40x^4-32x^3 in the form described in the Linear Factorization Theorem. List each zero and its multiplicity.
Polynomial is an expression that consists of indeterminates(variable) and coefficients. The multiplicity of 0 is 3, 2/3 is 1 and -4 is 1.
What are polynomials?Polynomial is an expression that consists of indeterminates(variable) and coefficients, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.
Given polynomial equation q(x)=12x⁵+40x⁴-32x³, therefore, the factorised form of the equation will be,
[tex]q(x)=12x^5+40x^4-32x^3\\\\q(x)=4x^3(3x^2+10x-8)\\\\q(x)=(4x^3-0)(3x^2+12x-2x-8)\\\\q(x)=(4x^3-0)[3x(x+4)-2(x+4)]\\\\q(x) = (4x^3-0)(3x-2)(x+4)[/tex]
Therefore, the multiplicity of 0 is 3, 2/3 is 1 and -4 is 1.
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In the similar quadrilaterals below, what angle corresponds to ∠C? ∠H ∠G ∠F ∠E
we need to see the shapes
What is the length of AB?
Answer:
10
Step-by-step explanation:
AB²=8²+6²
=64+36
=100
AB=10
Answer:
10 units
Step-by-step explanation:
Pythagorean Theorem:
a² + b² = c²
6² + 8² = c²
c = √100
10 units
BRAINLIEST please if this helped!What is one disadvantage of a trade school education over a four-year college?
A. The cost will be higher.
B. Your courses will not be as diverse.
C. You will have to study longer.
D. You will be less prepared to work.
Answer: B. Your courses will not be as diverse.
Step-by-step explanation:
A four-year college will have many different classes and courses you can take in different areas. Trade school courses focus on a specific skill, such as being a dentist or an electrician. This means the answer to your question is;
B. Your courses will not be as diverse.
Answer: B: Your courses will not be as diverse
Step-by-step explanation: Trade schools focus on preparing you for a specific trade rather than general studies
What is the total cost of 8 loaves of bread at £1.38 each?
Answer:
£11.04
Step-by-step explanation:
1.38 x 8 = 11.04
A rectangular prism is shown.
What is the volume, in cubic MILLIMETERS, of the rectangular prism
Answer:
1974 mm^3
Step-by-step explanation:
The formula to find the volume of a rectangular prism/cuboid: l x w x h, where l is the length, w is the width and h is the height.
1) Input the values into the formula and solve it.
= 47 x 14 x 3
= 1974 mm^3
What is answer?
Not really good. At this
A pair of flip flops is labeled $9 on the price tag. At the register, I paid $9.45. What percent of $9 is $0.45?
than 100 inches.
8 feet 6 inches
8 feet
0000
3 yards
2 yards 19 inches
Yo your question is extremely un readable but im gonna assume you are asking what is more than a hundred inches
8 feet 6 inches = 104 inches
8 feet = 96 inches
3 yards = 108 inches
2 yards 19 inches = 91 inches
Help please thank u!!
Answer:
E={1,2,3}
Step-by-step explanation:
First one is the correct answer
Can someone help with this
Answer:
Step-by-step explanation:
Find the horizontal asymptotes by comparing the degrees of the numerator and denominator.
Vertical Asymptotes:
x=1
Horizontal Asymptotes:
y=0
No Oblique Asymptotes
Levi has a fish tank that holds
8 gallons of water. He wants to fill it
so it is only 3/4 full. How much water,
in gallons, should Levi put in the fish
tank? Explain.
Answer:
6 gallons because 3/4 is the same as 6/8 so therefore 6 gallons would be 3/4 full
The amount of water in gallons in the fish tank is A = 6 gallons
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
If Levi wants to fill the fish tank so it is only 3/4 full, then he only needs to fill it with 3/4 of its total capacity.
A = (3/4) x 8
On simplifying the equation , we get
A = 6 gallons
Hence , Levi should put 6 gallons of water in the fish tank to fill it to 3/4 of its total capacity
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I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
27°
Step-by-step explanation:
SOH CAH TOA
sinx = opposite/hypotenuse
sinx = 10/21 ≈ 0.47619047619 radians
0.47619047619 · (180/π)
≈ 85.71/π
≈ 27°
BRAINLIEST please if this helped!HELP ME WITH THIS IF U PLEASE
PART A
WT = 30
30 = 3HF + 2FA
30 = 3x + 2y
2y = 30 - 3x
y = 15 - 3/2x
0 = 15 - 3/2x
3/2x = 15
x or EH = 10
y = 15 - 3/2(10)
y = 15 - 15
y or FA = 0
Okay so this problem doesn't make sense because FA cannot = 0. I know I did the first part right - change of variables. I'm just not sure if we can use the information in part b to answer part a... Anyway, I hope this helps!
How much would you need to deposit in an account now in order to have $6000 in the account in 5 years? Assume the account earns 8% interest compounded daily.
Answer:
$[tex]\frac{6000\cdot \:365^{1825}}{365.08^{1825}}[/tex]
Step-by-step explanation:
[tex]x(1+.\frac{.08}{365})^{5\cdot \:365} =6000[/tex]
[tex]x\frac{365.08^{1825}}{365^{1825}}=6000[/tex]
[tex]x\frac{365.08^{1825}}{365^{1825}}\cdot \:365^{1825}=6000\cdot \:365^{1825};\quad \ne \mathrm{True}[/tex]
[tex]365.08^{1825}x=6000\cdot \:365^{1825};\quad \ne \mathrm{True}[/tex]
[tex]\frac{365.08^{1825}x}{365.08^{1825}}=\frac{6000\cdot \:365^{1825}}{365.08^{1825}};\quad \ne \mathrm{True}[/tex]
[tex]x=\frac{6000\cdot \:365^{1825}}{365.08^{1825}};\quad \ne \mathrm{True}[/tex]
you cannot simplify further because of the high exponents
It is simply extremely hard to do compound interest problems backwards if it gets compounded daily
Mark brainliest please!
Find f(-3) when f(x) = 2x2 + 3x + 5
Answer:
-4
Step-by-step explanation:
Answer: If f(x) = -x2 - 3x + 5, then the value of f(-3) is -4.
Answer:
f(-3) = 14
Step-by-step explanation:
f(-3) just means to fill in -3 for x.
2x^2 + 3x + 5
becomes
2(-3)^2 + 3(-3) + 5
Exponent first.
2(9) + 3(-3) + 5
Multiplication
18 + -9 + 5
Add.
14
Abby has 2.28 pounds of meat. She uses 0.19 pound of meat to make one hamburger. How many hamburgers can Abby make with the meat she has
Answer: Abby would be able to make 12 hamburgers.
Step-by-step explanation:
You have to divide 2.28 and 0.19 and you would get 12 so the answer is 12.
What is 3,235 divided by 20?
Answer:
161.75
(You can use a calculator to calculate this)
Answer:
161.75
Step-by-step explanation: