The required number is 38 when 1/4 of some number is 8.5, the number is 27.32 when the difference between some number and 22.52 is 4.8, and the number is -1.32 when -6.6 is some number of times as large as 5.
What is the number system?
A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9. Based on the basic value of its digits, different types of number systems exist.
1/4 of some number is 8.5 which is given in the question.
Let the required number would be x
As per the given condition, the solution would be as:
⇒ (1/4) x = 8.5
⇒ x = 8.5 × 4
⇒ x = 38
The difference between some number and 22.52 is 4.8 which is given in the question.
Let the required number would be y
As per the given condition, the solution would be as:
⇒ y - 22.52 = 4.8
⇒ y = 4.8 + 22.52
⇒ y = 27.32
-6.6 is some number of times as large as 5 which is given in the question.
Let the required number would be z
As per the given condition, the solution would be as:
⇒ 5 × z = -6.6
⇒ z = -6.6 / 5
⇒ z = -1.32
Hence, the required number is 38 when 1/4 of some number is 8.5, the number is 27.32 when the difference between some number and 22.52 is 4.8, and the number is -1.32 when -6.6 is some number of times as large as 5.
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A function is defined by fx) = 5(2-x). What is f(-1)?
Answer:
f ( x ) = 15
Step-by-step explanation:
Step 1:
f ( x ) = 5 ( 2 - x ) Function
Step 2:
f ( - 1 ) Given
Step 3:
f ( x ) = 5 ( 2 - ( - 1 ) ) Input x
Step 4:
f ( x ) = 5 ( 3 ) Combine Like Terms
Answer:
f ( x ) = 15
Hope This Helps :)
Answer:
15
Step-by-step explanation:
Since there is a -1 in place of the x, that means for every x value, x = the number in place of the x, so in this case every x would equal -1.
f(x) = 5(2-x)
f(-1) = 5(2+1)
f(-1) = 5(3)
f(-1) = 15
Each hour, the number of bacteria in Dr. Nall’s petri dish tripled. What percent is the population compared to the population the hour before?
3%
30%
130%
300%
Answer: D. 300%
Step-by-step explanation:
#0 I think I should get brainliest answer because...
I am about to add my evidence of how I found my answer AND proof for edge so I think I should get brainliest because I added more proof and evidence
#1: How I found my answer
Well, the bacteria on Dr. Nall's dish starts with 100% bacteria in it and after an hour, it tripples, so after an hour, it would have to be 100x3=300 and now all we have to do is add the percent so 300% and so, the answer is: D. 300%
#2: Proof:
edge test 100% correct shone on this question
Answer:
The Answer is the last one
Step-by-step explanation:
(NEED DONE QUICK) Two angles are supplementary. One of the angles measures 4(2x+9) and the other angle measures 2(4x-8) what is the value of x?
Answer:
[tex]x=10[/tex]
Step-by-step explanation:
Supplementary angles are angles equal to 180°.
Therefore:
[tex]4(2x+9)+2(4x-8)=180[/tex]
Now that we have our equation, let's distribute the [tex]4[/tex] and the [tex]2[/tex] into the parentheses they are next to:
[tex]8x+36+8x-16=180[/tex]
Combine like terms:
[tex]16x+20=180[/tex]
Subtract [tex]20[/tex] from both sides of the equation:
[tex]16x=160[/tex]
Divide by the coefficient of [tex]x[/tex], which is [tex]16[/tex]:
[tex]x=10[/tex]
~
Check your work by substituting [tex]10[/tex] into one of the equations above:
[tex]8(10)+36+8(10)-16=180[/tex]
[tex]80+36+80-16=180[/tex]
[tex]180=180[/tex]
It's correct!
if f(x) = 3x - 1 and g(x) = x + 2, find (f - g)(x)
Answer:
Step-by-step explanation:
3x - 1 - (x + 2)
3x - 1 - x - 2
2x -3
the number of calories is correlated with the amount of vitamin c
Step-by-step explanation:
World's Healthiest Foods rich in
vitamin C
Food calories
Papaya119224%
Bell Peppers29157%
Broccoli55135%
Brussels Sprouts56129%
Strawberries46113%
Pineapple83105%
Oranges6293%
Kiwifruit4285%
Cantaloupe5478%
Cauliflower2973%
Answer: The number of calories is [Not] correlated with the amount of vitamin C
Step-by-step explanation:
Edg2021
What does the "b" in y=mx+b form stand for?
A.change in x over change in y
B. y-intercept
C.slope
D.No answer text provided,
What are the minimum and maximum values of t for which ſt + 31 < 2?
Answer:
maximum : [tex] ϵ -29 [/tex] a number infinitesimally larger than -29, or -28 if you prefer integers
minimum : [tex] -\infin [/tex]
negative infinity
Explanation:
if t + 31 < 2
than t + 31 - 31 < 2 - 31
t < -29
[tex] -\infin < t \:< - 29[/tex]
any number less than -29
ϵ just means infinitesimal small quantity denoted as [tex] \pm \frac{1}{\infin} [/tex]
answer that is CORRECT gets brainliest
Answer:
0.65 third option
Step-by-step explanation:
95×0.65= $61.75
Write an equation and solve.
Bobby needs to buy a new
bicycle. If he already has $50 and
he gets $15 per week for his
allowance, how many weeks will
it take him to get the $200 he
needs to purchase the bike he
wants?
WILL GIVE BRAINLIEST!!
Find the value of x in the diagrams below.
a) 71
b.) 32
c.) 109
d.) 24
Answer:
(3x - 1 )° is equals to 71 degreesthe statement will be 3x - 1 degree is equal to 71 degree put the like terms together 3 x is equals to 71 degrees + 1 degrees then it'll be 3 x is equals to 72 then divide both sides by 3 will get x is equals to 24 degrees
Point N is on line segment MO. Given MO = 18 and MN = 3, determine the
length NO.
Answer:
Length of NO is 15
Step-by-step explanation:
because
NO = MO-MN
The population of Stockmoon is increasing at 2% every year. The population was 550 in 1990. How many people are living in Stockmoon today? Round your answer to the nearest person.
Answer:996
Step-by-step explanation:
You have completed 45 assignments which is 75% of your total for the year. How many total assignments are you assigned?
Answer:
60
Step-by-step explanation:
45/3 + 45 = 60
find the ratio which are the points p(X,2) divides the line segment joining the point a(12,5) and b(4,-3) also find X plz give answer for this
Answer: ratio a:b = 3:5 p(X, 2) = p(9, 2)
Step-by-step explanation:
Plot points a = (12, 5) and b = (4, -3) and draw a line segment from a to b.
Notice that when y = 2, X = 9 so point p = (9, 2) see graph
The distance from a to p = 3√2
The distance from b to p = 5√2
So the ratio of a:b = 3√2:5√2 = 3:5 when simplified
To find the distance, use the distance formula OR pythagorean theorem.
What is the equation of a line in slope intercept formula that has a slope of 4 and goes through the point (-2,-11)
simplify: sin theta {1/sin theta - 1/cosec theta}
Answer:
SORRY I DIDN'T KNOW
Step-by-step explanation:
PLEASE SOLVE THIS PROBLEM
Ralf and Susie share $57 in the ratio 2:1.
(a) Calculate the amount Ralf receives.
Answer:
.Total ratio 2+1 = 3Ralf 2/3 × 57Divide 57 by 3( 2 × 19)= 38....Ralf recieves $ 38Answer:
Raff = 38
Suzie = 19
Step-by-step explanation:
Raff gets 2x
Suzie gets x
2x + x = 57 dollars
3x = 57 dollars
x = 19 dollars
2x = 38 dollars
A trio and a quartet got together and played a song. How many musicians were there?
Answer:
a trio is 3 people and a quatret is 4 people which in total it's 7 people.
Step-by-step explanation:
find a formula for the amount of kool-aid in lake beta t hours after the crash.
The formula for the amount of Kool-Aid in Lake Beta t hours after the crash can be determined using the equation below: k(t) = 120(1 - 0.1)^(t/4)
When a shipment of Kool-Aid crashes near Lake Beta, the Kool-Aid powder gets dumped into the lake. The initial amount of Kool-Aid in the lake is 120 kg. The rate of decay for the Kool-Aid is 10% every 4 hours. We can determine the formula for the amount of Kool-Aid in Lake Beta t hours after the crash.
The formula for the amount of Kool-Aid in Lake Beta t hours after the crash can be determined using the equation below:
k(t) = 120(1 - 0.1)^(t/4)
In this equation, the initial amount of Kool-Aid in the lake is 120 kg. The rate of decay is 10%, which means that 10% of the Kool-Aid disappears every 4 hours.
This rate of decay is represented by the factor (1 - 0.1)^(t/4).
To determine the amount of Kool-Aid in the lake after t hours, we simply substitute the value of t into the equation.
For example, if we want to know the amount of Kool-Aid in the lake after 8 hours, we would substitute t = 8 into the equation;
k(8) = 120(1 - 0.1)^(8/4) = 84 kg
Therefore, after 8 hours, there would be 84 kg of Kool-Aid in Lake Beta.
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Rewrite the following as a decimal
-5 1/11
Answer:
-5.09
Step-by-step explanation:
Convert 5 1/11 to an improper fraction.
Exact Form:
-56/11
Decimal Form:
-5.09
Mixed Number Form:
-5 1/11
Question 7 12.5 pts A network consists of the following list. Times are given in weeks Activity Predecessor a mb A 5 11 14 B 8 14 20 C A 6 10 14 D B 3 5 7 E C, D 4 6 11 F E 6 8 13 G E 10 18 22 a. What
The given information presents a network with a list of activities and their respective durations in weeks. The activities are interconnected, indicating their dependencies and the time required to complete each activity. The question asks for the earliest start time, earliest finish time, latest start time, and latest finish time for each activity in the network.
To determine the earliest start time, earliest finish time, latest start time, and latest finish time for each activity, we can utilize the concept of the Critical Path Method (CPM).
The CPM allows us to analyze the network and identify the critical path, which is the sequence of activities that determines the longest duration for completing the project.
To calculate the earliest start time (ES) and earliest finish time (EF) for each activity, we start by assigning ES = 0 for the first activity. Then, for each subsequent activity, ES is calculated as the maximum EF of its preceding activities. EF is then calculated by adding the activity duration to ES.
Next, we determine the latest finish time (LF) and latest start time (LS) for each activity. LF is initially set as the project duration, and LS is calculated by subtracting the activity duration from LF.
For each preceding activity, LF is determined as the minimum LS of its succeeding activities.
The critical path is identified by comparing the ES and LF values for each activity. Activities with ES equal to LS and EF equal to LF are part of the critical path.
The critical path represents the activities that, if delayed, would extend the project's overall duration.
By performing these calculations for the given network, we can determine the earliest start time, earliest finish time, latest start time, and latest finish time for each activity.
Additionally, the critical path can be identified based on the ES, EF, LS, and LF values.
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Can someone please help me
Answer:
Looks like (-5,1.5)
Step-by-step explanation:
Because it is halfway between the 1 and the 2
Hope This Helps!
-5x + 3 > - 72
O x > -26
O x < 15
O x > 15
O x < -26
What is x equal to in the problem.
Answer:
have no idea mate actually is 69
Step-by-step explanation:
yebamabsi
Answer:
52°
Step-by-step explanation:
x is the same angle as opposite to 52°, making x 52°
Find the area of a circle with radius, r = 14cm.
Give your answer rounded to 3 SF.
Answer:
616 cm^2
Step-by-step explanation:
using π r ^ 2
22/7 × 14^2
616 cm^2
Question 11:
Solve the following LP formulation in Excel
Maximize Z=300×1+90×2+400×3+150×4
subject to:
$35,000×1+10,000×2+25,000×3+90,000×4≤$120,000
4×1+2×2+7×3+3×4≤12 acres
×1+×2≤1 facility
×1,×2,×3,×4=0 or 1
By solving the LP formulation using Solver in Excel, you will obtain the optimal values for the decision variables x1, x2, x3, x4 that maximize the objective function Z.
To solve the given linear programming problem in Excel, you can use the Solver add-in. Here are the steps to set up and solve the LP formulation:
Step 1: Set up the Excel spreadsheet with the following columns:
Column A: Variables (x1, x2, x3, x4)
Column B: Coefficients of the objective function (300, 90, 400, 150)
Column C: Constraint coefficients for the first constraint (35000, 10000, 25000, 90000)
Column D: Constraint coefficients for the second constraint (4, 2, 7, 3)
Column E: Constraint coefficients for the third constraint (1, 1, 0, 0)
Column F: RHS values for the constraints (120000, 12, 1)
Column G: Variable type (0 or 1)
Column H: Variable names (optional)
Cell J2: Objective function (formula: =SUMPRODUCT(B2:B5, G2:G5))
Step 2: Set up the Solver add-in:
Go to the "Data" tab and click on "Solver" in the "Analysis" group.
In the Solver Parameters dialog box, set the following:
Set Objective: Cell J2
To: Max
By Changing Variable Cells: Range G2:G5
Subject to the Constraints: Range C2:F4
Click on the "Add" button to add each constraint.
Click on the "Solve" button to solve the LP problem.
Note: Before running the Solver, make sure you have the Solver add-in enabled. You can enable it by going to "File" -> "Options" -> "Add-Ins" -> "Excel Add-Ins" -> "Solver Add-in" -> "OK".
By solving the LP formulation using Solver in Excel, you will obtain the optimal values for the decision variables x1, x2, x3, x4 that maximize the objective function Z.
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Parallelogram P Q R S is rotated about point Q 180 degrees to form parallelogram P prime Q prime R prime S prime. Parallelogram P prime Q prime R prime S prime is reflected across line of reflection l to form parallelogram P double-prime Q double-prime Q double-prime S double-prime.
Which rule describes the composition of transformations that maps figure PQRS to figure P"Q'R"S"?
Answer:
a
Step-by-step explanation:
i just took the quiz
Answer:
D.
Step-by-step explanation:
If mABF= (7x+ 20) ° , mFBC= (2x–5) ° , and m
ABC= 159 ° , find the value of x
When a hypothesis is supported by many different experiments what is it considered
Answer:
Theory
Step-by-step explanation:
theory-is a hypothesis that has been proven and supported by many lot of experiments.
Answer:
It is called a theory
Step-by-step explanation:
For example, if a scientist has a hypothesis and it is proven true, then other scientists will also test it to be proved a theory. After changing different variables (sometimes), and yet it is still proven true, then it becomes a theory.
Hope this helps!
Problem 1 Denote by 9 (t) is the position at time t of an object moving on a line. The function q need not be a position, q may be any differentiable function. The derivative, g, of a need not be a velocity, j is just the derivative of q. Assume that q is differentiable, so that its derivative, 9 = d', is the velocity, u: v (t) = (t) = ' (t) (1) Position and velocity are given, or measured, at three times, to, tı, and t2, with to 01 = v(tı) > 03 = v(t2) 20 (3) 059(to) = % <91 = q (ti) < 42 = 9 (t2) Assume also that the position increases as the velocity decreases on the interval of time [to, ta]. The problem is to establish a procedure to estimate a time t, between to and 1, when the position 4. = q (1.) is exactly halfway between qo and 4: 4. = 9(t.) = 40 +91 Assume that v is affine: for some constanta, v (t) = 10 + (t-to). (6) (1.1) Calculate a in terms of to, tı, to and v1. (5) (1.2) Find a formula for q (t) for every t in terms of t. to. 11, 90. 91.00, 01. (1.3) Then solve Equation (5) fort, in terms of to, +1.90:01. Vo, and 0. (1.4) Calculate the velocity when the position is halfway, v (t.)
1.1 ) velocity v1 is given as follows : 1/2 (4o + 42)
1.2) q(t) = qo + (t - to) (ti - to + 11 - 2to)/2 - (qo - q(to))
1.3) t = to + (1/2)(-49 - (ti - to)(ti - to + 11 - 2to) + 2(q(to) - qo))
1.4) v(t*) = t* - to + 7 - ti
(1.1)The constant a in terms of to, ti, to, and v1 is given as follows
.v(t) = 10 + (t - to)g(t)
= v(t) - v1g(t)
= 10 + (t - to) - v1
We know that
4. = 4(t.)
= 4o + 9 ıand 4. is exactly halfway between qo and
q4. 4. = q(t.)
= 4o + 1/2 (4 - 4o)
= 1/2 (4o + 42)
Therefore, we can equate these two expressions for
4.4o + 9ı
= 1/2 (4o + 42)8o - 4
= 9ı
Substituting v(t) = 10 + (t - to), we get
8o - 4 = v1 + (ti - to - 1)
v1 = 8o - 4 - (ti - to - 1)
Therefore, the value of the constant a in terms of to, ti, to, and v1 is given by
a = 8o - 4 - (ti - to - 1).
(1.2)We know that g(t) = v(t) - v1.
Since v(t) is given as v(t) = 10 + (t - to), we have
g(t) = v(t) - v1
= 10 + (t - to) - (8o - 4 - (ti - to - 1))
= t - ti + 11 - 2to
The position q(t) for every t is given by
q(t) = qo + ∫g(s) ds
where
qo = 4o + 91
= q(ti)
= q(to + ti - to)
= q(to) + ∫g(s) ds
From this equation, we get
∫g(s) ds = qo - q(to)
Therefore, q(t) = qo + (t - to) (ti - to + 11 - 2to)/2 - (qo - q(to))
(1.3)From the formula for q(t), we have
4o + 91 + (t - to) (ti - to + 11 - 2to)/2 - (qo - q(to))
= 1/2 (4o + 42)
Therefore, solving for t, we get
t = to + (1/2) ((4o + 42) - (4o + 91 + (ti - to)(ti - to + 11 - 2to)/2 + qo - q(to)))
= to + (1/2)(-49 - (ti - to)(ti - to + 11 - 2to) + 2(q(to) - qo))
(1.4)We have already found that
4. = 1/2 (4o + 42).
Substituting this in the formula for g(t) and evaluating at t = t*, we get
v(t*) = 10 + (t* - to) - v1
= 10 + (t* - to) - (8o - 4 - (ti - to - 1))
= t* - to + 7 - ti
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