Answer: This is a trig relationship from one of our special triangles, the 30-60-90 triangle.
Tan x = the opposite side of angle x divided by the adjacent side of angle x
The tangent is √3 when x = 60° or π/3
However, in this problem the value of the tangent is negative. In which of the four quadrants is the tangent function negative?
This function is negative in the second and fourth quadrants or when x = 120 and 300 degrees (or 2pi/3 and 5pi/3)
***I am assuming that the negative sign should be outside of the square root sign***
PLS HELP ILL GIVE BRANLIEST
What is the value of b in the equation (y^b)^4= 1/y^24?
Answer:
b= -6
y^(b×4) = y^(-24)
b= -6
Juanita is tying ribbon on gift bags. She has 24 feet of ribbon and each gift bag uses 0.75 foot of ribbon. The function
r = 24 -0.75g represents the amount of ribbon r Juanita has left after tying ribbon on g gift bags. Find the zero of the function. Describe
what this value means in the context of this situation
The zero of the function is at ___. This represents that after tying ribbon on ____ gift bags, Juanita will have ____ feet of ribbon left.
The zero of the function is at 32 gift bags. This represents that after tying ribbon on 32 gift bags, Juanita will have zero feet of ribbon left.
According to the question;
The function r = 24 -0.75g represents the amount of ribbon r Juanita has left after tying ribbon on g gift bags.The zero of the function is at, r = 0.
Therefore;
0 = 24 -0.75gg = 24/0.75g = 32.This value means that after tying 32 gift bags, Juanita will have zero feet of ribbon left.
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Lauren bought x boxes of cookies to bring to a party. Each box contains 12 cookies.
She decides to keep two boxes for herself. She brings 60 cookies to the party. Write
an equation that can be used to find the number of boxes, x, Lauren bought.
Answer:
12x-2=60
Step-by-step explanation:
since there are 12 cookies per box, u could multiply it by x boxes, and since she kept 2 you would need to subtract it from your total.
List all subsets of the set {A, B, C} using proper notation
Answer:
subset of {A, B, C} = { }, {A}, {B}, {C}, {A,B}, {B,C},{C,A}
Hope that my answer is helpful to you
Which values of a, b, and c represent the answer in simplest form?
7/9 * 4/9 = a b/c
Answer:
Option 2: A=1, B=3, C=4
Step-by-step explanation:
7/9÷4/9 = 7/9*9/4cancel 9 on each side=7/4= 1 3/4You deposit $9000 in an account that pays 5% interest compounded quarterly.
A. Find the value of one year
B.Use the future value formula for simple interest to determine the effective annual yield
(Formula: A=P(1 +rt)
Step-by-step explanation:
Given:
Deposit P = $9000Interest rate r = 5% = 0.05Time t = 1 yearNumber of compounds n = 4A. Find the value of one year
[tex]A = P(1 + r/n)^{nt} = 9000(1+0.05/4)^4=9458.51[/tex]B. Use the future value formula for simple interest to determine the effective annual yield
[tex]A=P(1+rt)\\[/tex][tex]r=(A/P-1)/t[/tex][tex]r=(9458.51/9000-1)/1=0.0509[/tex] r = 5.1%Answer:
A) $9458.51
B) 5.09% (2 d.p.)
Step-by-step explanation:
Part ACompound Interest Formula
[tex]\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}[/tex]
where:
A = final amountP = principal amountr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsedGiven:
P = $9000r = 5% = 0.05n = 4 (quarterly)t = 1 yearSubstitute the given values into the formula and solve for A:
[tex]\implies \sf A=9000\left(1+\frac{0.05}{4}\right)^{4 \times 1}[/tex]
[tex]\implies \sf A=9000(1.0125)^4[/tex]
[tex]\implies \sf A=9458.508032...[/tex]
Therefore, the value of the account after 1 year is $9458.51.
Part BSimple Interest Formula
A = P(1 + rt)
where:
A = final amountP = principalr = interest rate (in decimal form)t = time (in years)Given:
A = $9458.51P = $9000t = 1 yearSubstitute the given values into the formula and solve for r:
[tex]\implies \sf 9458.51=9000(1+r(1))[/tex]
[tex]\implies \sf 9458.51=9000(1+r)[/tex]
[tex]\implies \sf \dfrac{9458.51}{9000}=1+r[/tex]
[tex]\implies \sf r=\dfrac{9458.51}{9000}-1[/tex]
[tex]\implies \sf r=0.050945...[/tex]
[tex]\implies \sf r=5.0945... \%[/tex]
Therefore, the effective annual yield is 5.09% (2 d.p.).
A water tank is a cube of side 2m the depth of water in it is60cm. What is the volume of water in the tank?
Answer:
Step-by-step explanation:
The base is made of a square that is 2 meters by 2 meters.
Base = 4 m^2
The height of the water is 60 cm
60 cm// 100 cm/meter = 0.6 meters
Volume = Base * height
Base = 4m^2
height = 0.6 m
Volume = 4 * 0.6 = 2.4 m^3
What algebraic property is T - 6 = -4
Answer:
subtraction to addition algebraic expression.
Step-by-step explanation:
Determine if the sequence is arithmetic 7,9,11,13,15…
If so, find the common difference
b. What would be a30
Answer:
65
Step-by-step explanation:
a. since we add 2 to each term in this sequence, the difference between one term and the next is a constant. therefore, it's an arithmetic sequence
b. in this case, a = 7 and d =2
the equation would be a30 = 7 + (30-1)2
solving this gives us 65
80 precent of games is 32 games
Answer:
If you are asking for the whole number of game it is 40
Step-by-step explanation:
if your monthly salary is $1,015.00 what percentage of your monthly salary is used on paying your rent.
Rent: $443.50
Answer:
43%
Step-by-step explanation:
443.50 divided by 1015 is 0.43 when rounded; 0.43 as a fraction is 43%. So therefore, the answer is 43%.
In a state's Pick 3 lottery game, you pay $1.35 to select a sequence of three digits (from 0 to 9), such as 966. If you select the same sequence of three digits that are drawn, you win and collect $394.46
What is the probability?
If you win what is your net profit?
Find the value?
Answer:
How old are you
Step-by-step explanation:
A figurine of a lighthouse is shown. if the actual lighthouse is 30feet wide, how tall is the lighthouse
Answer:
30× 60 ( 3×2= 6 + tens= 60 )= minimum- 180 fery
What is the slope of the linear function graphed
below?
Answer:
y=2x+2
Step-by-step explanation:
The slope of the function is going up by 2 every time.
help pls aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
Answer:
x=3
Step-by-step explanation:
y = mx + b
m = (y2 - y1)/(x2 - x1)
m = (8+4)/(3-3) = 12/0 = UD
x = 3
ACME insurance company estimates that the probability of the owners’ of a house worth between $120,000 to $170,000 making a claim for $5000 is 0.08, and that the probability of the house and contents being totally destroyed is 0.0041. Should that tragedy happen, the company will have to pay $150,000. The company charges $1300 for the insurance policy.
What is the expected value of this policy to the insurance company?
Round your answer to two decimal places.
The expected value of this policy to the insurance company is $285.00.
Using this formula
Policy expected value=Insurance policy charges-[(Probability × Claim)+(Probability × Claim)]
Let plug in the formula
Policy expected value=$1,300-{(.0041)($150,000)+(.08)($5,000)]
Policy expected value=$1,300-($615+$$400)
Policy expected value=$1,300-$1,015
Policy expected value=$285.00
Inconclusion the expected value of this policy to the insurance company is $285.00
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100min to 2h as a ratio
Answer:
100:2
Step-by-step explanation:
describe the transformation of g(x)=(-1/2x) as it relates to the graph of f(x)=x
Answer:
c
Step-by-step explanation:
if buyer purchases 25% of a lot in the spring and then purchases 50% more in the fall what percentage of the lot is still available to purchase
Answer:
25%
Step-by-step explanation:
Total purchase = 25%+50%
Total purchase = 75%
Percentage left = 100% - 75%
Percentage left = 25%
If the sales tax rate is 8.9%, how much tax will be paid on a $457 tv?
State your answer in terms of dollars, rounded to the nearest cent (hundredth).
Do not include a $ sign with your response.
Plsssss Help i have no idea how to do this
Answer:
500
Step-by-step explanation:
What is 12/9 in simplest form
If f(1) = 10 and f '(x) ≥ 3 for 1 ≤ x ≤ 6, how small can f(6) possibly be?
Answer:
[tex]f'( x ) = \frac{f(b) - f(a)}{b - a} \\ = \frac{f(6) -f(a)}{6 - 1} \\ 3\leqslant \frac{f(6) - 10}{5} \\ 15\leqslant f(6) - 10 \\ f(6) \geqslant 15 + 10 \\ f(6) \geqslant 25[/tex]
Answer:
25
Step-by-step explanation:
Our "best" case is when [tex]f'(x) = 3[/tex] everywhere - if it changes it means [tex]f(x)[/tex] will grow faster. But if [tex]f'(x)[/tex] is constant, it means [tex]f(x)[/tex] is the straight line [tex] y-10 = 3 (x-1) [tex], which passes through the point (6, 25)
Just pleasssssssssss help me.
3/14 2/7 1/2
Step-by-step explanation:
divide all of them seprately to get your decimal amount
Adjoa’s gross salary for last month was Ghc4,687.24. If Ghc421.78 was deducted from Adjoa’s salary pay, how much take-home pay did Adjoa earn this past month?
Adjoa take-home pay earned for the past month is Ghc4,265.46
From the question,
We are to determine the amount of take-home pay Adjoa earn the past month
From the given information, we have that
Adjoa’s gross salary for last month was Ghc4,687.24
Also
Ghc421.78 was deducted from Adjoa’s salary pay
To determine how much take-home pay Adjoa earn the past month,
We will subtract the amount deducted from Adjoa’s salary pay from Adjoa’s gross salary for last month
That is,
Adjoa take-home pay = Ghc4,687.24 - Ghc421.78
Adjoa take-home pay = Ghc4,265.46
Hence, Adjoa take-home pay earned for the past month is Ghc4,265.46
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Solve the inequality graphically.
3-* > 6*
a. x < 1
b.X>1
C.X>0
d. x <0
Answer:
Simplify the expression.
−
729
Step-by-step explanation:
your wlecome
A drilling machine can drill 12 holes in 6 minutes. If the machine drills holes at a constant speed, it can drill
holes in 25 minutes. HELPPP
Answer:
The machine can drill 50 holes in 25 minutes!
Explanation:
6 by 4 is 24, which in this context will be 24 minutes. Therefore, multiply 12 by 4 to get the sum of 48. Then, to find the remaining 1 minute, divide 12 by 6 to get 2 which is the amount of holes per minute. Add 2 to 48 and that is your answer!
.21 is what percent of $3.50
Answer:
6%
To find 6 percent of a number, multiply the number by 0.06. In this instance, 3.5 x 0.06 = 0.21, or twenty-one hundredths.
Step-by-step explanation:
Answer:
0.21 / 3.50 × 100%
= 21/350 × 100%
= 3/50×100%
= 3×2%
=6%
Step-by-step explanation:
brainliest plz
HELLO I NEED A MATH EXPERT RIGHT NOW TO HELP ME WITH SOME MATH STUFF
IF YOUR NOT A MATH EXPERT THEN DONT ANSWER
Answer:
what's your question
Step-by-step explanation:
what's your question
ANSWER
7y-20=3y+12
= 7y-20+20= 3y + 12 + 20
= 7y = 3y + 32
= 7y -3y = 3y + 32 - 3y
= 4y = 3y + 32 -3y
= 4y =32
= y = 32/4
= y = 8
Thank you :).....
Sandeep is making fruit dip for a party. His recipe calls for 1/2 of a teaspoon of cinnamon and 3/4 of a cup of yogurt. Using this ratio, how much cinnamon does Sandeep need if he uses 3 cups of yogurt?
Answer:
That sounds delicious
Step-by-step explanation:
0.5:0.75 = x:3
2 teaspoons of cinnamon needed