The equivalent expression for the amount remaining is an expression that has equal value
The equivalent form of the expression for the amount remaining in shipment 2 is [tex]f(t)=50(\frac12^\frac{1}{5})^{5t- 1}[/tex]
How to determine the equivalent expressionThe initial equation of the function is:
[tex]f(t)=50(\frac12)^{\frac t{10}}[/tex]
The function after the scientist receives the second shipment after two days is:
[tex]f(t)=50(\frac12)^{t - \frac 2{10}}[/tex]
Simplify
[tex]f(t)=50(\frac12)^{t - \frac 1{5}}[/tex]
Take the LCM of the exponent
[tex]f(t)=50(\frac12)^{\frac{5t- 1}{5}}[/tex]
Express the exponent as a product expression
[tex]f(t)=50(\frac12)^{\frac{1}{5} * [5t- 1]}[/tex]
Rewrite as:
[tex]f(t)=50(\frac12^\frac{1}{5})^{5t- 1}[/tex]
Hence, the equivalent form of the expression for the amount remaining in shipment 2 is [tex]f(t)=50(\frac12^\frac{1}{5})^{5t- 1}[/tex]
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Answer:
D is the correct answer
Step-by-step explanation:
3r+2e=-6 what is the correct answer for that
linear equation
hope it helps
what is the percentage of a 1:100 solution
Answer:
It would be 1%
Evaluate 14+(-9)-(-9)
Answer:
14
Step-by-step explanation:
Because two 9's cancel out each other so 9 is what is left.
Hope it helps!
Answer:
14
Step-by-step explanation:
14+(-9)=14-9=5-(-9)-5+9=14
How do you write 36.42 as a mixed number
Linear equation: -1 2 (6x + 10) = 13 Step 1: –3x – 5 = 13 Step 2: –3x = 18 Step 3: x = –6 Which sequence describes the inverse operations used for steps 2 and 3 to solve the linear equation? the addition property of equality and then the division property of equality the addition property of equality and then the multiplication property of equality the subtraction property of equality and then the division property of equality the subtraction property of equality and then the multiplication property of equality
Answer:
(A) the addition property of equality and then the division property of equality
Step-by-step explanation:
To get from Step 1 to Step 2, we have added 5 to both sides of the equation:
-3x -5 +5 = 13 +5
-3x = 18
To get from Step 2 to Step 3, we have divided both sides of the equation by -3:
-3x/-3 = 18/-3
x = -6
These operations can be described as ...
the addition property of equality and then the division property of equality
__
However, since addition and subtraction are the same thing, but with opposite numbers, and since multiplication and division are the same thing, but with reciprocal numbers, any of the answer choices is arguably correct.
(add 5, divide by -3) = (add 5, multiply by -1/3) =
(subtract -5, divide by -3) = (subtract -5, multiply by -1/3)
Answer:
A.) the addition property of equality and then the division property of equality
Step-by-step explanation:
Got It Right. Trust me
Andrew and his children went into a grocery store and he bought $12 worth of
apples and bananas. Each apple costs $1 and each banana costs $0.60. He
bought a total of 16 apples and bananas altogether. By following the steps
below, determine the number of apples, x, and the number of bananas, y,
that Andrew bought.
The number of apples and bananas andrew and his children bought is 6 and 10 respectively.
Andrew and his children bought $12 worth of apples and bananas. Each apple costs $1 and each banana costs $0.60. He bought a total of 16 apples and bananas altogether.
Let number of apples = x and number of bananas is x-16
In mathematics it deals with numbers of operations according to the statements.
Here,
x*4 + 0.60(16-x) = 12
0.4x + 9.6 = 12
0.4x = 2.4
Number of apples, x = 6
And number of bananas = 16 -x
= 16 - 6
= 10
Thus, the number of apples and bananas andrew and his children bought is 6 and 10 respectively.
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multiply (5y+x)(5y-x)
Answer:
25y²-x²
Step-by-step explanation:
Marta just started a new job as an engineer. She is given a $9,000 sign on bonus and paid $4,500
per month. Write and solve an equation to determine the number of months that Marta must work
before she earns $27.000.
9000 + 4500 x n = 27000
4500 x n = 18000
n = 18000 : 4500
n = 4
4 months of work
what is a 2 step equation equivalent to 12?
Answer:
[tex]\sqrt{x-3} = 3[/tex]
Step-by-step explanation:
100×100×500-30+150+200×300=
Please help me out with this assignment..
Answer:
(a) 3, (b) 96, (c) No
Step-by-step explanation:
(a) Since we have [tex]p = 150 - 6q^2[/tex] and [tex]p = 10q^2 + 2q[/tex], we can set up a quadratic equation by [tex]150 - 6q^2 = 10q^2 + 2q[/tex], moving all values to one side.
The equation is: [tex]16q^2 + 2q - 150 = 0[/tex].
Let's use the quadratic formula to find q,
we obtain that [tex]q = 3[/tex] or [tex]q = -3.125[/tex]
We can ignore [tex]-3.125[/tex] because supplying a negative quantity is impossible.
Hence, the answer of (a) is 3
(b) Simply substitute [tex]q = 3[/tex] into either equations given in the question to find p, and the answer of (b) is 96.
(c) We want to find if there is an exact quantity that makes the TR exactly 1500.
We substitute TR = 1500,
[tex]1500 = 85q - 2q^2[/tex]
Use the quadratic formula again, and we will find that the answer is "undefined".
As a result, there is not output level in which the total revenue is exactly 1500.
Which term in the sequence 15,12,9..... Is equals to - 39
Answer:
33,39
Step-by-step explanation:
Max is paid on a weekly commission basis .he is paid a base salary of $340 on a weekly quota $8000 and commission of 4.74% on sales in excess of quota.
If max sales for lastweek $11340 what wad his gross earning.
What was max average per hour earning in 35 hours
Answer:
$498.32$14.24Step-by-step explanation:
Max gross earning was:
340 + (11340 - 8000)*4.74/100 = $498.32 rounded to nearest centAverage per hour:
498.32/35 = $14.24 rounded to nearest cent1 2/3 × 2 4/5
Please answer and explain how to do this problem.
Answer:
4 2/3
Step-by-step explanation:
First do:
5/3x14/5=
5x14
--------
3x5
=70/15
=4 2/3
New legislation passed in 2017 by the U.S. Congress changed tax laws that affect how many people file their taxes in 2018 and beyond. These tax law changes will likely lead many people to seek tax advice from their accountants (The New York Times). Backen and Hayes LLC is an accounting firm in New York state. The accounting firms believe that it may have to hire additional accountants to assist with the increased demand in tax advice for the upcoming tax season. Backen and Hayes LLC has developed the following probability distribution for x= number of new clients seeking tax advice.x f(x)20 .0525 .2030 .2535 .1540 .1545 .1050 .10a. Is this a valid probability distribution? Explain.b. What is the probability that Backens and Hayes LLC will obtain 40 or more new clients?c. What is the probability that Backens and Hayes LLC will obtain fewer than 35 new clients?d. Compute the expected value, variance, and standard deviation of x.
Answer:
a. Yes
b. 0.35
c. 0.5
d.
E(x)=34.25
V(x)=73.1875
SD(x)=8.555
Step-by-step explanation:
a.
x 20 25 30 35 40 45 50
f(x) 0.05 0.2 0.25 0.15 0.15 0.1 0.1
This will be valid probability distribution if
1. All probabilities are between 0 and 1 inclusive.
2. Sum of probabilities must be 1.
Condition 1 is satisfied in this distribution. Now, we will check second condition
sum(f(x))=0.05+0.2+0.25+0.15+0.15+0.1+0.1=1.
As the both conditions are satisfied, thus the given distribution is a valid probability distribution.
b.
P(x≥40)=P(X=40)+P(X=45)+P(X=50)
P(x≥40)=0.15+0.1+0.1
P(x≥40)=0.35
So, the probability that Backens and Hayes LLC will obtain 40 or more new clients is 0.35.
c.
P(x<35)=P(X=20)+P(X=25)+P(X=30)
P(x<35)=0.05+0.2+0.25
P(x<35)=0.5
So, the probability that Backens and Hayes LLC will obtain fewer than 35 new clients is 0.5.
d.
Expected value of x=E(x)= sum[x*f(x)]
E(x)= 20*0.05+25*0.2+30*0.25+35*0.15+40*0.15+45*0.1+50*0.1
E(x)=1+5+7.5+5.25+6+4.5+5
E(x)=34.25
Variance of x=V(x)=sum[x²*f(x)]-(sum[x*f(x)])²
sum[x²*f(x)]= 20²*0.05 +25²*0.2 +30²*0.25 +35²*0.15 +40²*0.15 +45²*0.1 +50²*0.1
sum[x²*f(x)]=20+1255+225+183.75+240+202.5+50
sum[x²*f(x)]=1246.25
V(x)=1246.25-(34.25)²
V(x)=73.1875
Standard deviation of x=SD(x)=√V(x)
SD(x)=8.555
GIVING OUT BRAINLIEST!
At a restaurant, a children's meal gives a choice of four entrées: burger (B), chicken (C), pizza (P), or spaghetti (S), and two sides: apple (A) or fries (F).
Which sample space represents all the ways a child could choose one entree and one side for his or her meal?
A) BA, BF, CA, CF, PA, PF, SA, SF
B) BA, CA, PA, SA
C) BF, CF, PF, SF
D( B, C, P, S, A ,F
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
it pretty much self explanatory
Find the area of the polygon with the given vertices.
G(2,2) H(3,-1) J(-2,-1)
Click on the photo
Answer:
I think its B. y is all real numbers.
Step-by-step explanation:
Sorry if that is incorrect
A square is cut into identical rectangles. Find the perimeter of each rectangle if the perimeter of the square is 48 cm
Answer:
Given ,
Perimeter of square = 48 cm
In the question , it has been said that the square is cût into identical rectangles. Therefore ,
length of rectangle = side of squarebreadth of rectangle = side of square / 2To find - Perimeter of each rectangle formed by cûtting the square into half.
[tex]\huge\red{ ★\:Aᥒsᥕᥱr -}[/tex]
[tex]\bold{perimeter \: of \: square = 48 \: cm} \\ \\\bold{ 4 \times side = 48 \: cm} \\ \\\bold{side = \cancel\frac{48}{4}} \\ \\ \fbox\blue{side\:of\:square= 12 \: cm}[/tex]
thus , as stated above ,
[tex]\bold{length \: of \: rectangle = 12 \: cm} \\\bold{ breadth \: of \: rectangle = \frac{12}{2} = 6 \: cm}[/tex]
Therefore ,
[tex]\bold{perimeter \: of \: rectangle = 2(l + b)} \\ = 2(12 + 6) \\ = 2(18) \\ \fbox\pink{Perimeter\:of\:rectangle\: = 36 \: cm}[/tex]
hope helpful ~
2.5 (y+ 2/5) = -13
What is y? Show your work.
Answer:
[tex]y = \frac{ - 67}{5} [/tex]
Step-by-step explanation:
[tex]y + \frac{2}{5} = - 13[/tex]
* Subtract 2/5 from both sides
[tex]y + \frac{2}{5} - \frac{2}{5 } = - 13 - \frac{2}{5} [/tex]
[tex]y = \frac{ - 67}{5} [/tex]
what is two thirds of 600
Answer:
Step-by-step explanation:
400
Answer:
its simple its 400
Step-by-step explanation:
Horizontal plane A and vertical plane B intersect at a line. Line n is vertical on plane B and forms a right angle with horizontal line m on plane A. Line l is diagonal on plane A. Are the lines in the diagram perpendicular, parallel, skew, or none of these? l and m: l and n: m and n:
Question:
Are the lines in the diagram perpendicular, parallel, skew, or none of these?
Answer:
l and m:
none of these
l and n:
skew
m and n:
perpendicular
Answer:
l and m:
✔ none of these
l and n:
✔ skew
m and n:
✔ perpendicular
solve the inequality:
||x-3|-2|≤1
Answer:
x = 6
Step-by-step explanation:
...
...
...
.....
..
Can someone help and explain
Answer:
∠ A ≈ 43.1°
Step-by-step explanation:
Using the Sine rule in Δ ABC , that is
[tex]\frac{a}{sinA}[/tex] = [tex]\frac{c}{sinC}[/tex] , substitute values
[tex]\frac{20}{sinA}[/tex] = [tex]\frac{29}{sin82}[/tex] ( cross- multiply )
29 × sinA = 20 × sin82 ( divide both sides by 29 )
sinA = [tex]\frac{20sin82}{29}[/tex] , thus
∠ A = [tex]sin^{-1}[/tex] ([tex]\frac{20sin82}{29}[/tex] ) ≈ 43.1° ( to 1 dec. place )
Question 18
5 pts
The density of steel is 8,050 kilograms per cubic meter. A construction company is using a steel
beam in the shape of a rectangular prism that measures 12 meters long, 1/5 of a meter wide, and
1/3 meter deep. What is the mass of the steel beam?
O 1,610 kilograms
O 6,440 kilograms
O 8,050 kilograms
O 3,220 kilograms
का
Answer:
#2) 6,440 kilograms
The density of steel is 8,050 kilograms per cubic meter. A construction company is using a steel beam in the shape of a rectangular prism that measures 12 meters long, 1/5 of a meter wide, and 1/3 meter deep then the mass of the steel beam is 6,440 kilograms Option b.
To find the mass of a steel beam.
Let's start by defining the variables we have:
- The density of steel, denoted by "ρ" (rho), is given as 8,050 kilograms per cubic meter (kg/m³).
- The dimensions of the steel beam are:
- Length (L) = 12 meters (m)
- Width (W) = 1/5 meter (m)
- Depth (D) = 1/3 meter (m)
We want to find the mass (m) of the steel beam. The mass of an object can be calculated using its density and volume:
M = ρ [tex]\times V[/tex]
Here, "V" represents the volume of the steel beam. The volume of a rectangular prism (like the steel beam) is calculated as:
[tex]\[ V = L \times W \times D \][/tex]
Substitute the given values:
[tex]\[ V = 12 \, \text{m} \times \frac{1}{5} \, \text{m} \times \frac{1}{3} \, \text{m} \][/tex]
[tex]\[ V = 12 \, \text{m} \times \frac{1}{5} \times \frac{1}{3} \, \text{m} \][/tex]
[tex]\[ V = \frac{12}{5} \times \frac{1}{3} \, \text{m}^3 \][/tex]
[tex]\[ V = \frac{12}{15} \, \text{m}^3 \][/tex]
[tex]\[ V = \frac{4}{5} \, \text{m}^3 \][/tex]
Now that we have the volume, we can find the mass of the steel beam using the given density:
[tex]\[ m = 8,050 \, \text{kg/m}^3 \times \frac{4}{5} \, \text{m}^3 \][/tex]
[tex]\[ m = \frac{8,050 \times 4}{5} \, \text{kg} \][/tex]
[tex]\[ m = \frac{32,200}{5} \, \text{kg} \][/tex]
[tex]\[ m = 6,440 \, \text{kg} \][/tex]
After performing the calculations, we find that the mass of the steel beam is 6,440 kilograms. Therefore, the correct answer is option Option b 6,440 kilograms.
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1. Label each representation below as a "Function" or "Not a function".
a.
b.
o.
х
у
{(-2,9), (0, -4), (3, 12), (1, 1))
-1
1
-1
2
-1
3
-1
4
Function
not a function
not a function
Answer:
a. Function
b. Function
c. Not a function
Step-by-step explanation:
Here is a basic rule to determine if a relation is a function of not:
1. A function has only one exact y-value (range) assigned to each x-value (domain).
2. A x-coordinate value is not repeated in a function, however, a y-coordinate value can be repeated. This means, the same y-value can be assigned to different x-values.
Bearing these in mind, let's label the given representation accordingly:
a. There is exactly one y-value assigned to each x-value, and also, no x-value is repeated. Therefore, it is a function.
b. The graph shows a repeating y-value, however, each x-value has exactly one y-value assigned to it. Therefore the graph represented is a function.
c. The table shows a repeating x-values. This is definitely not a function.
The function is defined as follows for the domain given.
f(x)=3x+2, domain = (-2,-1,0, 1}
What is the range?
Answer:
- 4, - 1, 2, 5
Step-by-step explanation:
To find the range, simply substitute each of the domains into the function to get the y-values.
f(-2) = 3(-2) + 2
= - 6 + 2
= - 4
f(- 1) = 3(-1) + 2
= - 3 + 2
= - 1
f(0) = 3(0) + 2
= 0 + 2
= 2
f(1) = 3(1) + 2
= 3 + 2
= 5
The range is - 4, -1, 2, 5.
the governor of state A earns $53,545 more than the governor of state B. If the total of their salaries is $310,365, find the salaries of each.
Answer:
Governor of State A earns $181,955 and Govermoe of State B earns $128,410
Answer:
the governor of state B = $128,410
the governor of state A = $ 181,955
Step-by-step explanation:
Lets say that:
the governor of state B = x
the governor of state A = x+$53,545
x+x+$53,545=
2x+$53,545= $310,365
2x=$256,820
x=$128,410
the governor of state A = $128,410 +$53,545 = $ 181,955
5(a-b)if a=-4 and b=-2
Answer:
See below.
Step-by-step explanation:
5(a-b)
5(-4-(-2))
5(-4+2)
5(-2)
-10
-hope it helps
Help Please I’ll Give Brainliest :)
Answer:
5 tables
Step-by-step explanation:
3 = 24
1 = 24 ÷ 3 = 8
40 chairs = 40 ÷ 8 = 5
Hope this helps!
Answer:
5 tables
Step-by-step explanation:
3 * 8 = 24
5 * 8 = 40
7 * 8 = 56
8 * 8 = 64