Answer:
[tex]y\in [-64,\infty)[/tex] .
Step-by-step explanation:
The given statement is "64 less than y is no less than −128". It means 64 less than y is greater than or equal to −128.
[tex]y-64\geq -128[/tex]
Add 64 both sides.
[tex]y-64+64\geq -128+64[/tex]
[tex]y\geq -64[/tex]
It means possible value of y is greater than or equal to -64.
[tex]y\in [-64,\infty)[/tex]
Therefore, the required interval is [tex][-64,\infty)[/tex].
please help!! simplify. Your answer should only contain positive exponents. 2m squared times 2m to the power 3. m to the power 4 times 2m to the power 3
Answer:
A).4m^(+5)
B).2m^ (+7)
Step-by-step explanation:
First let me convert the expression to words for easy simplification and evaluation.
2m squared times 2m to the power 3.
= 2m² * 2m³
m to the power 4 times 2m to the power 3
= m⁴ * 2m³
So to evaluate.
We just multiply and get our answer.
For 2m² * 2m³
= (2*2)(m²*m³)
= 4(m(²+³))
= 4m^(+5)
For m⁴ * 2m³
= 2(m⁴*m³)
= 2m(⁴+³)
= 2m^ (+7)
If the following inequality is divided by −2, what is the resulting inequality? −2x≤−20
Step-by-step explanation:
When dividing by a negative number, you "flip" the inequalities sign so you would divide -20 by -2 which would leave you with 10. X is left where it is and you flip the inequalities sign to a ≥ sign.
final answer =
x ≥ 10
A new car is purchased for 25000 dollars.The value of the car depreciates at 8.25% per year.What will the value of the car be,to the nearest cent,after 15 years?
Answer:
da,
Step-by-step explanation:
cual de las siguientes rectas son perpendiculares a la recta de la ecuación 4x+6y-6=0
Answer:
Ok, i will answer in English.
The first step is to know that when we have a linear equation like:
y = a*x + b
any line with a slope equal to -1/a will be perpendicular to our line.
So first let's write our equation in the standard form:
4x + 6y - 6 = 0
6y = -4x + 6
y = (-2/3)*x + 1
then the slope is (-2/3)
then the slope of the perpendicular line will be:
-(1/(-2/3)) = 3/2
So the only thing any line with the equation:
y = (3/2)*x + c
where c can be any real number, is perpendicular to 4x+6y-6=0
Please answer this question !!! 20 points and brainliest !!
Answer:
see below
Step-by-step explanation:
The first answer choice is the only one that has the first sale correctly represented. Each term is the product of the number of pens of the type and the cost of pens of that type.
12 dozen roller-ball pens will have a cost of 12x
5 dozen ballpoint pens will have a cost of 5y
The total cost of these will be 116 (dollars).
The equation is written ...
12x +5y = 116 . . . . . . . this equation is only found in choice A
Which product is negative? (Negative StartFraction 3 over 8 EndFraction) (Negative StartFraction 5 over 7 EndFraction) (one-fourth) (StartFraction 3 over 8 EndFraction) (Negative StartFraction 5 over 7 EndFraction) (Negative one-fourth) (StartFraction 3 over 8 EndFraction) (StartFraction 5 over 7 EndFraction) (one-fourth) (Negative StartFraction 3 over 8 EndFraction) (Negative StartFraction 5 over 7 EndFraction) (negative one-fourth)
Answer:
[tex](D)\left(-\dfrac38\right)\left(-\dfrac57\right)\left(-\dfrac14\right)[/tex]
Step-by-step explanation:
The given options are:
[tex](A)\left(-\dfrac38\right)\left(-\dfrac57\right)\left(\dfrac14\right)\\(B)\left(\dfrac38\right)\left(-\dfrac57\right)\left(-\dfrac14\right)\\(C)\left(\dfrac38\right)\left(\dfrac57\right)\left(\dfrac14\right)\\(D)\left(-\dfrac38\right)\left(-\dfrac57\right)\left(-\dfrac14\right)[/tex]
The key to determining which product is negative is to understand the rule of sign multiplication.
Now:
The product of even negative terms is positiveThe product of odd negative terms is negative.The product of positive will always be positive.In Options A and B, the number of negative signs is even, therefore our result is positive.
In option C, all the terms are positive, therefore our result will be positive.
In Option D, the number of negative signs is odd, therefore our result is negative.
Answer:
your answer is D
:)
According to R.L. Polk & Co., the average age of cars and light trucks in the U.S. is 10.8 years. Assume that the standard deviation for this population is 3.7 years. A sample of 35 randomly selected vehicles was selected. What is the probability that the sample mean will be greater than 10 years?
Answer:
10.03% probability that the sample mean will be greater than 10 years
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question, we have that:
[tex]\mu = 10.8, \sigma = 3.7, n = 35, s = \frac{3.7}{\sqrt{35}} = 0.6254[/tex]
What is the probability that the sample mean will be greater than 10 years?
This is 1 subtracted by the pvalue of Z when X = 10. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{10 - 10.8}{0.6254}[/tex]
[tex]Z = -1.28[/tex]
[tex]Z = -1.28[/tex] has a pvalue of 0.1003
10.03% probability that the sample mean will be greater than 10 years
Natasha's sculpture was 5 3/16 inches tall. Mayas was 4 times as tall.How much shorter was Natasha's sculpture than Mayas
Answer:
Natasha's sculpture is 249/16 or 15.5625 or 15 9/16 inches shorter than Mayas sculpture
Step-by-step explanation:
The height of Natasha sculpture is 5 3/16 inches tall. Let us convert the height to an improper fraction.
5 3/16 = 83/16 inches tall. Therefore,
Natasha's sculpture is 83/16 inches tall.
According to the question Mayas own sculpture was 4 times as tall as Natasha's own sculpture. Mathematically, Mayas sculpture height can be expressed as follows
Mayas sculpture height = 4(83/16)
Mayas sculpture height = 4 × 83/16
Mayas sculpture height = 332/16
Mayas sculpture height = 20.75 inches or 83/4 inches
To know how much shorter was Natasha's sculpture we subtract Natasha sculpture height from Mayas sculpture height.
Therefore,
83/4 - 83/16 = (332 - 83) /16 = 249/16 or 15.5625 or 15 9/16
Natasha's sculpture is 249/16 or 15.5625 or 15 9/16 inches shorter than Mayas sculpture
341 is 55% of what number? Round your answer to the nearest hundredth
Your answer will be 620!
Answer:
the number is 620.
Step-by-step explanation:
in other words the question is 55% of what number is 341?
let the number be Y.
[tex]\frac{55}{100}*Y=341[/tex]
[tex]\frac{55Y}{100}=341[/tex]
[tex]55Y=341*100[/tex]
[tex]55Y=34100[/tex]
[tex]Y=\frac{34100}{55}[/tex]
Y=620
A family uses 12,986.64 Swiss francs per year to pay a mortgage that requires US dollars. Approximately how much, in US dollars, does the family spend per month on the mortgage?
1 US dollar = 0.9019 Swiss francs
1 Swiss franc = 1.11 US dollar
A.)$975
B.)$1,080
C.)$1,200
D.)$1,440
Answer:
C
Step-by-step explanation:
Per year: 12,986.64 * 1.11 = 14,415.1704 US dollars
Per month: 14,415.1704/12 = 1,201.2642 US dollars
Answer: c 1,200
explanation: 1,200 ÷ 12,986.64 = 0.09240265A library subscribes to two different weekly news magazines, each of which is supposed to arrive in Wednesday's mail. In actuality, each one may arrive on Wednesday, Thursday, Friday, or Saturday. Suppose the two arrive independently of one another, and for each one P(Wed.) = 0.3, P(Thurs.) = 0.4, P(Fri.) = 0.2, and P(Sat.) = 0.1. Let Y = the number of days beyond Wednesday that it takes for both magazines to arrive (so possible Y values are 0, 1, 2, or 3).
Required:
Compute the pmf of Y.
Answer:
Step-by-step explanation:
Let the events be
W = Wednesday
T = Thursday
F = Friday
S = Saturday
The corresponding probability are
P (W) = 0.3
P (T) = 0.4
P (F) = 0.2
P (S) = 0.1
Let Y = number of days beyond wednesday that takes for both magazines to arrive
(so possible Y values are 0, 1 , 2 ,3)
The possible outcome are 4² = 16
(W,W) (W,T) (W,F) (W,S)
(T,W) (T,T) (T,F) (T,S)
(F,W) (F,T) (F,F) (F, S)
(S,W) (S,T) (S,F) (S,S)
The values associated for each of the following as follows
Y(W,W) =0, Y(W,T) =1, Y(W,F)=2, Y (W,S)=3
Y(T,W)=1, Y (T,T)=1, Y (T,F)=2, Y (T,S)=3
Y(F,W)=2, Y (F,T)=2, Y (F,F)=2, Y (F, S)=3
Y(S,W)=3, Y (S,T)=3, Y (S,F)=3, Y (S,S)=3
The probability mass function of Y is
P(Y=0)=0.3(0.3)=0.9
P(Y=1) = P[(W,T) or (T,W) or (T,T)]
= [0.3(0.4) + 0.3(0.4) + 0.4(0.4)]
=0.4
P(Y = 2) = P[(W,F) or (T,F) or (F,W) or (F,T) or (F,F)]
=0.3(0.2) + 0.4(0.2) + 0.2(0.3) + 0.2(0.4) + 0.2(0.2)]
=0.32
P(Y =3) = P[(W,S) or (T,S) or (F,S) or (S,W) or (S,T) or (S,F) or (S,S)]
= [0.3(0.1) + 0.4(0.1) + 0.2(0.1) + 0.1(0.3) + 0.1(0.4) + 0.1(0.2) + 0.1(0.1)]
= 0.19
Suppose we want to choose a value of x at least 5 units away from 14.A) Think about some values of x that meet this constraint.B) Write an inequality that represents all values of x that meet this constraint. Hint. no answer givenC) On the number line below, represent all values of x that meet this constraint. Clear All Draw: Line segments and raysClosed dotOpen dot
Answer:
(a) [9, 19]
(b) [tex]9 \leq x \leq 19[/tex]
(c)See attachment
Step-by-step explanation:
We want to choose a value of x at least 5 units away from 14.
(a)Now, 14-5=9 and 14+5=19
The possible values of x ranges is in the closed interval [9,19]
(b) Since x is at least 5 units away from 14, we have:
[tex]|14-x|\leq5[/tex]
Solving the absolute inequality
[tex]-5 \leq 14-x \leq 5\\$In $ -5 \leq 14-x\\ x \leq 14+5\\x \leq 19\\\\$In $ 14-x \leq 5\\ 14-5 \leq x\\9 \leq x\\$Therefore,an inequality that represents all values of x that meet this constraint is:$\\9 \leq x \leq 19[/tex]
(c)To draw the number line, we use a closed dot since we have a less than or equal to sign.
Inequalities are used to represent unequal expressions.
The inequality that represents the scenario is [tex]\mathbf{|x-14| \ge 5}[/tex]Some possible values of x are: 5 and 20Represent the value with x.
A value that is at least 5 from 14 can take any of the following forms:
[tex]\mathbf{14 -x \ge 5}[/tex]
[tex]\mathbf{x-14 \ge 5}[/tex]
The inequalities can be combined as:
[tex]\mathbf{|x-14| \ge 5}[/tex]
The values of x are solved as follows:
[tex]\mathbf{14 -x \ge 5}[/tex]
[tex]\mathbf{14 - 5 \ge x}[/tex]
[tex]\mathbf{9\ge x}[/tex]
Rewrite as:
[tex]\mathbf{x \le 9}[/tex]
Similarly, we have:
[tex]\mathbf{x-14 \ge 5}[/tex]
[tex]\mathbf{x \ge 14 + 5}[/tex]
[tex]\mathbf{x \ge 19}[/tex]
So, we have:
[tex]\mathbf{x \le 9}[/tex] or [tex]\mathbf{x \ge 19}[/tex]
This can be combined as:
[tex]\mathbf{9 \ge x \ u\ x \ge 19}[/tex]
Some possible values of x are: 5 and 20
Read more about inequalities at:
https://brainly.com/question/1930605
The composite figure shown is made up of a cylinder and a___a0.
Answer: Cone
Step-by-step explanation:
Looking at the shape, the problem already listed cylinder. That is the bottom figure. The top figure is a cone.
Answer: cone
Step-by-step explanation:
The bottom figure is a cylinder. A cylinder is basically a rectangle wrapped around two circles.
The top figure is a cone. A cone’s net looks like a triangle with a curved base wrapped around a circle. If you don’t believe the top figure is a cone, think about what ice cream cones look like. The top figure is a cone.
Pls hit the thx button and mark me brainliest if this helped :)
Please answer this correctly
Answer:
n = 4
Step-by-step explanation:
These triangles are similar, so you can set up a proportion like this:
[tex]\frac{20}{n} =\frac{10}{2}[/tex]
→Cross multiply:
[tex]\frac{40}{10n}[/tex]
→Divide 40 by 10:
n = 4
Does anyone know the answer?
Answer:
5.44
Step-by-step explanation:
From Trigonometry Identity,
Sin65= CB/AB
CB = AB Sin65
= 6 × Sin65
= 5.4378
= 5.44{ to the nearest hundredth}
2 Points
What is the value of y? 2y 50 y+10
Answer:
y= -5/24
Step-by-step explanation:
2y=50y+10
1: Subtract 50y from both sides.
2y−50y=50y+10−50y
−48y=10
2: Divide both sides by -48.
−48y /48y=10/-48
y= -5/24
( 3/4 ÷ 3/100 −23 1/2 )÷1 1/2 · 2/3 +1 1/6
All of the (/) are fractions. Sorry if it's unclear.
Answer:
Simplify: = −7333 4400 (Decimal: -1.666591)
Answer: −7333/ 4400
Step-by-step explanation:
Steps below
1: 343100−2312112(2)3+116
2: 14100−2312112(2)3+116
3: 1400−2312112(2)3+116
4: −46199400112(2)3+116
Answers:
Simplify: = −7333 4400 (Decimal: -1.666591)
Answer: −7333/ 4400
Hope this helps.
Answer:
The answer is 11/6
Why do I need to pay to see answers....
I just need like 5 answers and I'm never coming on here again.
Answer:
same problem with me.That's what happened
Let C(q) represent the cost and R(q) represent the revenue, in dollars, of producing q items.
a. If C(50) = 4900 and C'(50) = 27, estimate C(52)
C(52)= $___________________
b. If C'(50) = 27 and R'(50) =37, approximately how much profit is earned by the 51st item?
The profit on the 51st itme is ____________________ dollars.
c. if C' (100) =41 and R'(100)= 37, should the company produce the 101st item?
The company _______________________ produce the 101st item
Answer:
(a)$4954
(b)$10
(c)The company should not produce the 101st item.
Step-by-step explanation:
(a)
[tex]C'(50)=\dfrac{C(52)-C(50)}{52-50} \\\\C(50) = 4900,C'(50) = 27\\\\$Therefore:\\27=\dfrac{C(52)-4900}{52-50}\\C(52)-4900=27*2\\C(52)=4900+54\\C(52)=\$4954[/tex]
(b)If C'(50) = 27 and R'(50) =37
Cost will increase by $27Revenue will increase by $37Therefore, the profit earned on the 51st item
[tex]=R'(50)-C'(50)[/tex]
=37-27
=$10
(c)If C'(100) = 41 and R'(100) =37
Cost will increase by $41Revenue will increase by $37Therefore, the profit earned on the 101st item
Profit [tex]=R'(100)-C'(100)[/tex]
=37-41
=-$4
The company should not produce the 101st item. It would lose $4 if it does.
In the flowering plant, white flowers (B) are dominant over red flowers (b), and short plants (E) are dominant over tall flower (e). An F2 generation was created by crossing two F1 individuals (each BbEe). The data below are the counted number of flowers from each phenotype in the F2 generation.
White short= 206
Red, short= 83
White, tall= 85
Red, tall= 30
Required:
a. What is your null hypothesis?
b. What is your expected phenotypic ratio based on Mendelian inheritance?
Question Completion
(a)What is your null hypothesis?
(b)What is your expected phenotypic ratio based on Mendelian inheritance?
(c)Calculate the expected number of flowers you should have gotten based on the Mendelian inheritance. Then calculate a chi-square value, degrees of freedom, and a p-value.
Chi-square statistic: _____Degrees of freedom (# phenotypes -1): P-value:(d)Interpret your results. Do you reject it or fail to reject your null hypothesis (please restate the null)?
Answer:
(a)[tex]H_0:$The given data fit the predicted phenotype[/tex]
(b)9:3:3:1
(c)
Chi-square statistic: 3.8914Degrees of freedom (# phenotypes -1) =3P-value: 0.2734(d)We fail to reject the null hypothesis.
Step-by-step explanation:
In the flowering plant, white flowers (B) are dominant over red flowers (b), and short plants (E) are dominant over tall flowers (e). An F2 generation was created by crossing two F1 individuals (each BbEe).
(a)The null hypothesis is:
[tex]H_0:$The given data fit the predicted phenotype[/tex]
(b)The gametes are BE, Be, bE and be.
The offsprings are presented in the table below:
[tex]\left|\begin{array}{c|cccc}&BE&Be&bE&be\\--&--&--&--&--\\BE&BE&BE&BE&BE\\Be&BE&Be&BE&Be\\bE&BE&BE&bE&bE\\be&BE&Be&bE&be\end{array}\right|[/tex]
The expected phenotypic ratio based on Mendelian inheritance
BE:Be:bE:be=9:3:3:1
(c)
[tex]\left|\begin{array}{c|c|c|c|c|c}$Phenotype&Observed&$Expected&O-E&(O-E)^2&\dfrac{(O-E)^2}{E} \\-----&--&--&--&--&--\\$White short(BE)&206&\frac{9}{16}*404 \approx 227 &-21&441&1.9427\\$Red, short(bE)&83&\frac{3}{16}*404 \approx 78 &5&25&0.3205\\$White, tall(Be)&85&\frac{3}{16}*404 \approx 78 &7&49&0.6282\\$Red, tall(be)&30&\frac{1}{16}*404 \approx 25 &5&25&1\\-----&--&--&--&--&--\\$Total&404&--&--&--&3.8914\end{array}\right|[/tex]
Therefore:
Chi-square statistic: 3.8914Degrees of freedom (# phenotypes -1): 4-1 =3P-value: 0.2734(d) Our null hypothesis is:
[tex]H_0:$The given data fit the predicted phenotype[/tex]
Since p>0.05, the given data fit the predicted phenotypic ratio.
We, therefore, fail to reject the null hypothesis.
The difference in the observed and expected are sosmall that they can be attributed to random chance.
line a passes through (0,3) & (-4,8) line b passes through (0,5) & (5,9) lines a & b are?
Answer:
line a )y=-5/4x+3
line b) y=4/5+5
a television set was sold during a clearance sale for dollar 299.00the television was sold at a discount of 70 percent, what was the list price?
Answer:
$996.67
Step-by-step explanation:
The discounted price is ...
(list price)(100% -70%) = $299.00
list price = $299.00/0.30 . . . . . divide by 0.30
list price = $996.67
Suppose that the probabilities of a customer purchasing 0, 1, or 2 books at a book store are 0.2, 0.3, and 0.5, respectively. What is the expected number of books a customer will purchase?
Answer:
Expectation number of books a customer will purchase = 1.3
Step-by-step explanation:
x : 0 1 2
p(x) :0.2, 0.3, and 0.5
Expectation
E(X) = ∑x P(x)
= 0 X 0.2 +1 X 0.3+ 2 X 0.5
= 1.3
Expectation E(X) = 1.3
Expectation number of books a customer will purchase = 1.3
60 POINTS Explain the process and solve a logarithmic equation. log x + log 8 – 2log 4 = 7.
Answer:
[tex]x = 20000000[/tex]
Step-by-step explanation:
Recall the power property of logarithms which states:
[tex]log(a^n)=n\,\,log(a)[/tex]
to re-write [tex]2\,log(4)=log(4^2)=log(16)[/tex]
and then use the product and quotient rules of logarithms:
[tex]log (A*B)=log(A)+log(B)[/tex]
and
[tex]log (\frac{A}{B} )=log(A)-log(B)[/tex]
to rewrite the combination of logarithms on the left of the equal sign as a single logarithm:
[tex]log(x)+log(8)-2\,\,log(4)=7\\log(x)+log(8)-log(16)=7\\log(\frac{8\,x}{16}) =7\\log(\frac{x}{2}) =7[/tex]
and now re-write this equation in exponent form to get rid of the logarithm:
[tex]10^7=\frac{x}{2} \\2\,\,\,10^7 = x\\x = 20000000[/tex]
Solve the two-step equation. -9x + 0.4 = 4 Which operation must be performed to move all the constants to the right side of the equation? Then, which operation must be performed to isolate the variable? The solution to the equation is x = .
Answer:
x = -0.4
Step-by-step explanation:
We have the equation:
-9x + 0.4 = 4
First, the operation to move all the constants to the right side is subtraction since we would have to subtract 0.4 from each side, let's see this:
[tex]-9x+0.4=4\\-9x+0.4-0.4=4-0.4\\-9x=3.6[/tex]
Now, we have all the constants on the right side of the equation.
Now, the operation we need to perform to isolate the variable is division (since the x has a -9 that is being multiplied by x) we need to do the opposite operation:
[tex]-9x=3.6\\\frac{-9x}{-9} =\frac{3.6}{-9} \\x=-0.4[/tex]
Thus, the answer to this equation is x= -0.4
Answer:
1.) Which operation must be performed to move all the constants to the right side of the equation?
✔ Subtract 0.4 (C)
2.) Then, which operation must be performed to isolate the variable?
✔ Divide by -9 on both sides. (D)
3.) The solution to the equation is x =
✔ -0.4 (B)
Step-by-step explanation:
I hope this helps!! Have a wonderful day!! :))
Find the equation of the line.
(6,4) (-4,-5)
Answer:
y = (9 x)/10 - 7/5
Step-by-step explanation:
y-y/x-x
How many cups of pineapple juice are needed to make 6 gallons of punch
Answer:
17
Step-by-step explanation:
In a basket of fruit, 5/6 of the pieces of fruit are apples. There are 20 apples in the display. The equation 5/6f= 20 can be used to find how many pieces of fruit f are the basket. Use words and numbers to explain how to solve the equation to find how many pieces of fruit are in the basket.
Answer:
There are 24 pieces of fruit in the basket.
Step-by-step explanation:
There are 24 pieces of fruit in the basket because to find how many there are you would do [tex]\\ \frac{6}{5\\}\\ \\[/tex] · [tex]\frac{5}{6}[/tex]f = 20 · 6/5 times 5/6 cancels out, and 20 time 6/5 is 24. 20/24 can also simplify to 5/6.
Hope this helps!
(Make sure to stream ON, Black Swan. Boy With Luv, Mic Drop, and etc.!)
1/2 of 30 = 1/4 of ??
Answer:60
Step-by-step explanation:
⅟₂ of 30=15
¼ of 60=15
Half of thirty is 15 so u need to know what ¼ of something makes 15 so all u have to do is times 15 by 4 and there got ur answer this will not go for every question thoThe required value is 60.
What is proportion?The size, number, or amount of one thing or group as compared to the size, number, or amount of another is considered as proportion.
Given that, 1/2 of 30 = 1/4 of ??
So, 1/2 of 30 = 15
a/b = c/d
ad = bc
Let the unknown value be x,
Therefore,
30 / 2 = x / 4
2x = 120
x = 60
Hence, the value of unknown element is 60.
Learn more about proportions, click;
https://brainly.com/question/2548537
#SPJ2
Adam works for an agency
