Answer: y = -x + 5
(0, 5), (1, 4), (2, 3), (3 2) ...
A company that makes hair-care products had 4,000 people try a new shampoo. Of the 4,000 people, 16 had a mild allergic reaction. What percent of the people had a mild allergic reaction?
Answer:
0.4% or in decimal form 0.004
Step-by-step explanation:
took the test and got it right!
A easy question help.
Answer:
170ft
Step-by-step explanation:
Answer:
Step-by-step explanation:
i think its 170 25+30=55 55+55=160 but it's only 5 away so I could be wrong
State of the given functions are inverses
Answer:
1) They are not inverses
2) They are inverses
Step-by-step explanation:
We need to find the composition function between these functions to verify if these functions are inverses. If f[g(x)] and g[f(x)] are equal to x they are inverses.
1)
Let's find f[g(x)] and simplify.
[tex]f[g(x)]=\frac{1}{2}g(x)+\frac{3}{2}[/tex]
[tex]f[g(x)]=\frac{1}{2}(4-\frac{3}{2}x)+\frac{3}{2}[/tex]
[tex]f[g(x)]=\frac{7}{2}-\frac{3}{4}x[/tex]
As f[g(x)] is not equal to x, these functions are not inverses.
2)
Let's find f[g(x)] and simplify.
[tex]f[g(n)]=\frac{-16+(4n+16)}{4}[/tex]
[tex]f[g(n)]=\frac{-16+4n+16}{4}[/tex]
[tex]f[g(n)]=\frac{4n}{4}[/tex]
[tex]f[g(n)]=n[/tex]
Now, we need to find the other composition function g[f(x)]
Let's find g[f(x)] and simplify.
[tex]g[f(x)]=4(\frac{-16+n}{4})+16[/tex]
[tex]g[f(x)]=-16+n+16[/tex]
[tex]g[f(x)]=n[/tex]
Therefore, as f[g(n)] = g[f(n)] = n, both functions are inverses.
I hope it helps you!
There are 378 calories in 7 servings. Find the unit rate. HELLPPP
Answer:
54 calories per serving
Step-by-step explanation:
if your question is how many calories per serving you just divide the amount of calories by the serving and you get how much per serving
Place the indicated product in the proper location on the grid.
(2x - )2
Answer: it will be (4x-)
explanation: because the 2 that is outside the bracket will affect the 2 that is inside so it will be (4x-)
Answer:
Hope it helps u
Step-by-step explanation:
FOLLOW MY ACCOUNT PLS PLS
Michael used software to calculate the cost of materials for his project. To make these calculations, he used a ____
a.spreadsheet
b.compact disk
c.word processor
d.database
Answer:
its spreadsheet or excel
A recording studio charges musicians an initial fee of $100 to record an album. Studio time cost an additional $1 per minute. Write and graph an equation that models the total cost of recording an album over one afternoon.
Answer:
$340
Step-by-step explanation:
Given data
Inititial fee= $100
cost per minute= $1
Let the total charge for x minutes by y
Hence the expression for the total charges after x minutes is
y= 100+1x
y=100+x
But an after is from 12pm - 4pm= 4 hours
x=4*60
x=240minutes
y=100+240
y=$340
1. you invest $10,000 for 5 years at 4% interest. To the nearest cent, find the amount of money in the account after 5 years if:
a) The interest is simple interest.
b) The interest is Compound annually
c) The interest is Compound monthly
d) The interest is compound daily
2. After 20 years, the total amount in an investment earning 3.5% interest compounded quarterly was $16,061.05. To the nearest dollar, how much money was originally invested?
3. After 5 years, the total amount in an investment earning 4% interest compounded daily was $12,213.89. To the nearest dollar, how much money was originally invested?
Answer:
See explanation
Step-by-step explanation:
1.
a) simple interest = PRT/ 100
I = 10,000 * 4 * 5/100
I =$ 2000
A = $10,000 + $ 2000
A =$ 12,000
b) A = P(1 + r/n)^t*n
Where;
A = amount
P = principal
r = rate per year
n = number of time the interest is compounded in a year
t = time in years
A = 10,000(1 + 0.04)^5/1
A = $ 12,166.5
c) A = P(1 + r/n)^t*n
A = 10,000(1 + 0.04/12)^5*12
A =$ 12,210
d) A = P(1 + r/n)^t*n
A = 10,000(1 + 0.04/365)^5*365
A=$ 12,213.90
2.A = P(1 + r/n)^t*n
$16,061.05 = P( 1 + 0.035/4) ^20*4
$16,061.05 = P (2.0076)
P = $16,061.05/2.0076
P= $8000
3.
A = P(1 + r/n)^t*n
12,213.89 = P(1 + 0.04/365)^5*365
12,213.89 = P(1.221)
P = 12,213.89/1.221
P = $10,003.2
Is the following relation a function ? I’ll give brainliest
What is the value of the expression below?
[(3 • (-5)) - 10] = |2 + (-7)|
Answer: -30
Step-by-step explanation:
A triangle flower bed has a perimeter of 15cm the drawing has a scale of 1:200. What is the perimeter of the actual flower bed
Answer:
300cm
Step-by-step explanation:
scale 1:200 means 1cm on drawing represent 200cm on ground so 15cm will be 15×200 which is 3000cm
evaluate: (_1_i)^(5/3)
Answer:
(
1
)
(
5
/
3
)
Step-by-step explanation:
What is the positive solution to the equation 2x2 + 3x = 2?
Answer:
x(2x+3)
Step-by-step explanation:
Answer:
X= -2
2. x = 1/2 = 0.500
Step-by-step explanation:
5. Which of the following is an
example of corresponding
angles?
A. <8 and <4
B. <5 and <7
C. <1 and <7
D. <3 and <5
Dave went to a game convention to buy packs of trading cards. Each pack cost $5. To get all of the cards he wanted, he went over his $20 budget. Let x represent how many packs of trading cards Dave bought. Which inequality describes the problem?
Answer: 5x>20
Step-by-step explanation: his budget is 20 so it will not be with the 5. Since each pack cost 5 dollars, it would 5x. Furthermore, the inequality symbol would be facing toward the 5 because dave went past his limit.
The inequality that represents he went over his $20 budget is 5x > 20.
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
Given, Dave went to a game convention to buy packs of trading cards.
Each pack cost $5. To get all of the cards he wanted, he went over his $20 budget.
As he went over his budget the inequality that represents this situation is,
5x > 20.
learn more about inequalities here :
https://brainly.com/question/28823603
#SPJ2
Help me I need this really bad and I need a good grade I’m behind on school
Answer:
If you share 7 apples equally with 3 people, then there are 2 1/3 apples per person.
The number 2 represents the number of whole apples each individual gets.
The denominatior, 3, represents how many times an apple will have to be split to divide equally
The numerator, 1, represents how many 3rds each person gets.
Amy sells muffins for 1.35 each the muffins cost 0.39 each to make how much profit will Amy make if she sells 48 muffins?
Answer:
$46.08
Step-by-step explanation:
Hi,
She gets 48 (1.35) when she sells 48 muffins. That equals 64.8.
But she pays 48 (.39) to make them. That equals 18.72.
64.8 - 18.72 = 46.08
She makes $46.08
I hope this helps :)
I’m for real confused now lol LOOK AT THE PHOTO
Answer:
The answer to the question provided is 42.
I need help with this graph
9514 1404 393
Answer:
f, b, h, a
Step-by-step explanation:
Swapping the numbers in an ordered pair is not rocket science.
(-5, 2) ⇒ (2, -5) . . . (f)
(-4, 3) ⇒ (3, -4) . . . (b)
(-1, 4) ⇒ (4, -1) . . . (h)
(4, 5) ⇒ (5, 4) . . . (a)
I am well known amongst students .
U might be familiar with me bcos am easy to grab.
My calculations involve a geometric figure with a number of sides .
Remembering SOH , CAH , TOA alone is not a clue to find me
Who am I ?
Answer:
Trigonometry--------------------Given that f (x )is continuous. f (3 )equals 1, f (1 )equals 6, f (6 )equals negative 2, and f (negative 2 )equals 3. Determine limit as x rightwards arrow 6 to the power of plus of f (x ), and limit as x rightwards arrow negative 2 to the power of minus of f (x ).
Given:
[tex]f(x)[/tex] is continuous, [tex]f(3)=1,f(1)=6,f(6)=-2,f(-2)=3[/tex].
To find:
The value of [tex]\lim_{x\to 6^+}f(x)[/tex] and [tex]\lim_{x\to -2^-}f(x)[/tex].
Solution:
If a function f(x) is continuous at [tex]x=c[/tex], then
[tex]\lim_{x\to c^-}f(x)=f(c)=\lim_{x\to c^+}f(x)[/tex]
It is given that the function [tex]f(x)[/tex] is continuous. It means it is continuous for each value and the left-hand and right-hand limits are equal to the value of the function.
The function is continuous for 6. So,
[tex]\lim_{x\to 6^-}f(x)=f(6)=\lim_{x\to 6^+}f(x)[/tex]
[tex]\lim_{x\to 6^+}f(x)=f(6)[/tex]
[tex]\lim_{x\to 6^+}f(x)=-2[/tex]
The function is continuous for -2. So,
[tex]\lim_{x\to -2^-}f(x)=f(-2)=\lim_{x\to -2^+}f(x)[/tex]
[tex]\lim_{x\to -2^-}f(x)=f(-2)[/tex]
[tex]\lim_{x\to -2^-}f(x)=3[/tex]
Therefore, [tex]\lim_{x\to 6^+}f(x)=-2[/tex] and [tex]\lim_{x\to -2^-}f(x)=3[/tex].
5. If the tree's circumference is 141.3ft, what is its diameter?
Answer:
d ≈ 45 ft
General Formulas and Concepts:
Symbols
π (pi) ≈ 3.14Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityGeometry
Circumference of a Circle Formula: C = πdStep-by-step explanation:
Step 1: Define
Circumference C = 141.3 ft
Step 2: Solve for d
Substitute in C [Circumference Formula]: 141.3 ft = πdSubstitute in π (approximation): 141.3 ft ≈ 3.14d[Division Property of Equality] Divide both sides by 3.14: 45 ft ≈ dRewrite: d ≈ 45 ftSuppose a batch of metal shafts produced in a manufacturing company have a standard deviation of 1.5 and a mean diameter of 205 inches. If 79 shafts are sampled at random from the batch, what is the probability that the mean diameter of the sample shafts would be less than 205.3 inches? Round your answer to four decimal places.
Answer:
the probability is 0.0750
Step-by-step explanation:
The computation of the probability is shown below;
The mean of x is
= 1.5 ÷ √79
= 0.1688
Now the probability is
= P(Z < -0.3 ÷ 0.1688) + P(\bar{x} > 0.3 ÷ 0.1688)
= P(Z < -1.78) + P(Z > 1.78)
= P(Z < -1.78) + 1 - P(Z < 1.78
= 0.0375 + 1 - 0.9625
= 0.0750
hence, the probability is 0.0750
2. If you drank two 12-ounce cans of soda each day for a year, how much money would you have spent?
Answer:
803 SORRY FOR ALL THE WRONG ANSWERS LOL
Step-by-step explanation:
you multiply the cents and the money by 2 then multiply it by 365
Oscar worked 40 hours last week. He had $160 deducted from his earnings for taxes. If he had $480 left
after the deduction, how much does Oscar earn per hour ?
What's the inverse of 3x+2
Answer:
The inverse is
y = 1 /3 x − 2 /3
Step-by-step explanation:
)) A line's slope is 6, and its y-intercept is 6. What is its equation in slope-intercept form?
Answer:
y = 6x+6
Step-by-step explanation
Answer:
y = 6x + 6
Step-by-step explanation:
in slope-intercept form, m = the slope of the line, and b = the y-intercept
F(x)-mx+ b, f(-2)=3 and f(4)=1 , what is the value of m and b
Answer: [tex]m=\dfrac{-1}{3}, b=\dfrac{7}{3}[/tex]
Step-by-step explanation:
Given
Function is [tex]f(x)=mx+b[/tex]
[tex]f(-2)=3[/tex]
[tex]\therefore 3=m(-2)+b\\\Rightarrow b-2m=3\quad \ldots(i)[/tex]
[tex]f(4)=1\\\therefore 1=4m+b\quad \ldots(ii)[/tex]
from (i) and (ii) we get
[tex]m=\dfrac{-1}{3}, b=\dfrac{7}{3}[/tex]
Solve a" + 14a + 45 = 0 by factoring
Answer:
a = -3
Step-by-step explanation:
-3 + (14 * -3) + 45 = 0
-3 + -42 + 45 = 0
-3 + 3 = 0
So, the answer is -3
Hope this helps! :)
The population of a city is currently 45,000 and is declining at a rate of 2% each year. Give a formula for determining the total population after a period of t years.
A) A = (45,000) e-0.02t
B) A= 45,000 + e-0.02t
C) A = (45,000) e0.02t
D) A = 45,000 + e
0.02t
I uploaded the answer to a file hosting. Here's link:
bit.[tex]^{}[/tex]ly/3a8Nt8n