Answer:
isolate the variable by dividing each side by factors that don't contain the variable. ANS: x>3
Answer:
do in steps as shown below
Step-by-step explanation:
Given) x+6-2(x-4)+5x-9 > -2/3(9x+18)-(24x-100)+19
step 1) x+6-2x+8+5x-9 > -6x-12-24x+100+19
step 2) 4x+5 > -30x+107
step 3) 34x > 102
step 4) X > 3 (b/c 102/34=3) :)
step 5) So any number greater than 3, will make this a true, and accurate statement.
Two kids at a summer camp, Ariel and Tori, are competing in a potato sack race. Anel is
younger, so she is given a head start of 10 yards. When the race starts, Ariel hops at a rate
of 1 yard per second, and Tori hops 3 yards per second. Eventually, Tori will overtake Ariel
How long will that take?
Write a system of equations, graph them, and type the solution
Answer:
5 seconds?
Step-by-step explanation:
Ariel y = x + 10
Tori y = 3x
(5,15)
How many solutions does 6 -3x = 12 - 6x have?
A. Two solutions
B. No solutions
C. Infinitely many solutions
D. One solution
Answer:
D. One solution
Step-by-step explanation:
Simplify:
\(6-3x = 12-6x\\-3x+6x = 12-6\\3x = 6\\x = 2\)
There is only one solution (x=2) that satisfy the equation.
What type of association does the graph show between x and y? A graph shows scale on x axis and y axis from 0 to 12 at increments of 1. Dots are made at ordered pairs 1, 1 and 2, 1.1 and 3, 1.3 and 4, 1.7 and 5, 2 and 6, 2.5 and 7, 3.1 and 8, 4.2 and 9, 6 and 10, 10. Linear positive association Nonlinear positive association Linear negative association Nonlinear negative association
Nonlinear positive association
Answer:
I got Nonlinear positive association
Step-by-step explanation:
Some campers are starting a 7-mile hike. If they stop to take pictures every ⅕-mile, how many stops will they make?
Answer:
35
Step-by-step explanation:
I did 1/5 into a decimal which is 0.2 and then i did 7/0.2 because 7 miles and 0.2 miles they stop and then you divide them and get 35
Use the information provided below to answer the following questions. Where applicable, use the present value tables provided in APPENDICES 1 and 2 that appear after QUESTION 5. 5.1 Calculate the Payback Period of both machines (expressed in years, months and days.) 5.2 Which machine should be chosen on the basis of payback period only? Why? 5.3 Calculate the Accounting Rate of Return (on average investment) of Machine A (expressed to two decimal places). 5.4 Calculate the Net Present Value of each machine (amounts expressed to the nearest Rand.) 5.5 Calculate the Internal Rate of Return of Machine B (expressed to two decimal places) using interpolation. INFORMATION Niterra Limited intends purchasing a new machine and has a choice between the following two machines: The company estimates that it's cost of capital is 12%. Depreciation is estimated at R 80000 per year.
To analyze the investment decision between Machine A and Machine B, various financial metrics are calculated. The payback period, accounting rate of return, net present value, and internal rate of return are determined. Based on these calculations, the suitable machine is chosen, considering the payback period, cost of capital, and other factors.
The payback period of both machines is calculated by determining the time required to recover the initial investment. It is expressed in years, months, and days. The machine with the shorter payback period indicates a faster return on investment.
Using the payback period as the sole criterion for decision-making, the machine with the shorter payback period should be chosen. However, it's important to note that the payback period does not consider the time value of money or the profitability beyond the payback period.
The accounting rate of return on average investment for Machine A is calculated by dividing the average annual profit by the average investment cost, expressed to two decimal places. This metric provides an indication of the profitability of the investment.
The net present value (NPV) of each machine is calculated by discounting the expected cash flows using the company's cost of capital (12%). NPV represents the present value of the expected cash inflows and outflows associated with the investment. The machine with the higher NPV indicates a higher value addition to the company.
The internal rate of return (IRR) of Machine B is determined using interpolation. IRR is the discount rate that equates the present value of expected cash flows to the initial investment. It indicates the profitability and return on investment of Machine B.
Considering all these factors and the company's cost of capital, a comprehensive evaluation can be made to determine the most suitable machine for investment.
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mikey usually buys a box of 18 candy bars for 12.49 whats the unit rate of price per candy bar
Answer:
1.44
Step-by-step explanation:
1 box 18 candy bars each box 12.49
18 divide by 12.49 equals 1.44 each candy bars
Water flows through a pipe at a rate of 89 cups per second. Express this rate of flow in gallons per hour
Answer:
Step-by-step explanation:
that sucks
Answer:
Answer: 20025 gallons per hour
89 times 60= 5340 cups in one minute
5340 times 60= 320,400 cups in one hour
Convert 320,400 cups into gallons and you will get 20025.
Not positive if this is correct but it’s better than nothing lol
Which of the following is a univariate display of quantitative data? histogram mosaic plot bar chart scatterplot
A histogram is a univariate display of quantitative data that organizes data into bins and shows the frequency of observations within each bin.
A histogram is a graphical representation that displays the distribution of quantitative data. It consists of a series of contiguous bars, where each bar represents a specific range or bin of values, and the height of the bar corresponds to the frequency or count of observations falling within that range.
Histograms are commonly used to visualize the shape, central tendency, and spread of a dataset. By examining the heights of the bars, one can determine the frequency of values within each bin and identify patterns such as peaks or clusters. This makes histograms an effective tool for exploring the distribution and characteristics of a single variable in a dataset.
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Find the distance between the two points in simplest radical form.
(1,8)(6,-4)
Part 1: Use the first 4 rules of inference to provide
logical proofs with line-by-line justifications for the following
arguments.
(2) 1. A > (E > ~F)
2. H v (~F > M)
3. A
4. ~H /E > M
To provide Logical Proofs with line-by-line justifications for the following arguments,
Let's use the first 4 rules of inference.
Given below is the justification for each step of the proof with the applicable rule of Inference.
E > M1. A > (E > ~F) Premise2. H v (~F > M) Premise3. A Premise4. ~H Premise5. A > E > ~F 1, Hypothetical syllogism6.
E > ~F 5,3 Modus Ponens 7 .
~F > M 2,3 Disjunctive Syllogism 8.
E > M 6,7 Hypothetical SyllogismIf
A is true, then E must be true because A > E > ~F.
Also, if ~H is true, then ~F must be true because H v (~F > M). And if ~F is true,
Then M must be true because ~F > M. Therefore, E > M is a valid based on the given premises using the first four rules of inference.
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There are 25 students in Mr. Detwikers 1st period class. If 76% of these students complete their homework last night. How many students did their homework?
Hopes you can help me.
happy holidays. Okay Byeeee.
Merry XMAS.
Question in the above attachment.
Answer:
its b bit.3-4√5let as assume on the contrary that 3-4√5 is rational.3-4√5 = p/q ( p and q are integers )4√5 = p/q - 34√5 = p - 3q /q √5 = p - 3q / 4q............... see image plz........merry Christmas....Ninja bosss yup yup!‼️
Answer:
OMG yessss
Step-by-step explanation:
use the remainder term to estimate the absolute error in approximating the following quantity with the nth-order taylor polynomial of f(x)=ex centered at 0. e−0.61, n=4
The estimated absolute error in approximating e^(-0.61) using the 4th-order Taylor polynomial of f(x) = e^x centered at 0 is approximately 1.29663 * 10^(-6).
To estimate the absolute error in approximating the quantity e^(-0.61) using the 4th-order Taylor polynomial of f(x) = e^x centered at 0, we can use the remainder term of the Taylor polynomial, also known as the Lagrange remainder or the Taylor remainder.
The remainder term for the nth-order Taylor polynomial of a function f(x) centered at a is given by:
R_n(x) = (f^(n+1)(c) / (n+1)!) * (x-a)^(n+1),
where f^(n+1)(c) is the (n+1)th derivative of f(x) evaluated at some value c between x and a.
In this case, we have f(x) = e^x, a = 0, x = -0.61, and n = 4. We need to find the (n+1)th derivative of f(x) and evaluate it at some value c between 0 and -0.61.
Let's calculate the derivatives of f(x) up to the 5th derivative:
f(x) = e^x
f'(x) = e^x
f''(x) = e^x
f'''(x) = e^x
f''''(x) = e^x
Since all derivatives of f(x) are equal to e^x, we can evaluate them at c = 0:
f^(n+1)(c) = f^(4+1)(0) = e^0 = 1.
Now we can plug these values into the remainder term formula:
R_4(-0.61) = (1 / (4+1)!) * (-0.61 - 0)^(4+1)
= (1 / 120) * (-0.61)^5
≈ 1.29663 * 10^(-6).
Therefore, the estimated absolute error in approximating e^(-0.61) using the 4th-order Taylor polynomial of f(x) = e^x centered at 0 is approximately 1.29663 * 10^(-6).
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If tan = 12/5 and cos = -5/13, then what is sin?
9514 1404 393
Answer:
sin -12/13
Step-by-step explanation:
You can use the identity ...
tan = sin/cos
to solve for sine:
sin = cos·tan
sin = (-5/13)(12/5) =
sin -12/13
Please awnser I will brainlist ( make sure 100% right) thanks
Answer:
90° and 90°.
Step-by-step explanation:
The only combination of 2 angles that sum to 180° with each not being less than 90° is 2 90° themselves! Technically, 90 is indeed not less than 90. It is not possible to find any other combinations because if one angle is made bigger, the other will be forced to become smaller, and if any angle becomes any smaller it will, of course, be less than 90° and thus not a solution to the problem.
Question 14 Solve the equation. 10820 (x2 - x) = 1 a. (-4,5) b. (-4,-5) c. {4,5) d (1,20]
Based on this analysis, it appears that option (d) is the correct answer as none of the other options account for the real solutions of the given quadratic equation.
To solve the equation 10820(x²- x) = 1, we can rearrange it to the quadratic form and solve for x:
10820(x² - x) = 1
Divide both sides by 10820 to isolate the quadratic term:
x² - x = 1/10820.
Multiply both sides by 10820 to clear the fraction:
10820x² - 10820x = 1.
Now we have a quadratic equation in the standard form: ax² + bx + c = 0, where a = 10820, b = -10820, and c = 1.
To solve this quadratic equation, we can use the quadratic formula:
x = (-b ± √(b² - 4ac)) / (2a).
Plugging in the values, we have:
x = (-(-10820) ± √((-10820)² - 4 * 10820 * 1)) / (2 * 10820)
x = (10820 ± √(116964400 - 43280)) / 21640
x = (10820 ± √116921120) / 21640.
Now, let's simplify the expression under the square root:
x = (10820 ± √(10820²)) / 21640
x = (10820 ± 10820) / 21640.
Simplifying further, we have:
x = 21640 / 21640 = 1 (for the plus sign)
x = 0 / 21640 = 0 (for the minus sign).
Therefore, the equation has two real solutions: x = 1 and x = 0
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What is 15/20 simplest form
Answer:
the simplest form of 15/20 is 3/4
Which angle has a negative sine value and a positive cotangent value?
sin4π/3= sin(π+π/3) = - sinπ/3
cot4π/3=cot(π+π/3)= cotπ/3
OPTION C 4π/3
Determine the solution to the system of equations:
x = 2y - 5
3y + x = 10
Answer:
In this system of equations, x is equal to one, and y is equal to three.
Step-by-step explanation:
We can solve this by rearranging either equation to define either x or y, and plugging that into the other. As it happens, the first equation is conveniently arranged to define x, so let's use that:
3y + x = 10
3y + (2y - 5) = 10
5y - 5 = 10
y - 1 = 2
y = 3
Now that we know the value of y, we can plug it in to either of the original equations to find x:
x = 2y - 5
x = 2(3) - 5
x = 6 - 5
x = 1
Now we can check that our answer is correct by plugging that x value into either of the original equations:
3y + x = 10
3y + 1 = 10
3y = 9
y = 3
And because that gives us our original y value, we know that our answer is correct.
Charlie and Jasmine share cartons of apple juice. Charlie drinks 1/3 of a carton every day. Jasmine drinks 2/5 of a carton every day. Any apple juice left in a carton at the end of the day is used the following day. The cost of a carton is 70p. Charlie and Jasmine buy just enough cartons to last them for 10 days. How much do they spend in total for these cartons? Give your answer in £.
Using proportions, it is found that they spent a total of £5.6 for these cartons of apple juice.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, the daily fraction of a carton they drink is given by:
\(\frac{1}{3} + \frac{2}{5} = \frac{5 + 6}{15} = \frac{11}{15}\)
Hence, applying the proportion, over 10 days, the amount of cartons they drink is given by:
\(10 \times \frac{11}{15} = \frac{110}{15} = 7.33\)
Rounding up, they buy 8 cartons, each at £0.7. Hence the total amount spent is given by:
8 x £0.7 = £5.6.
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HELP ILL GIVE 10 POINTS
(LOOK AT SCREENSHOT BELOW)
What is the correct solution set for the following graph?
{ } or empty set
{point in Quadrant I}
{point in Quadrant IV}
{infinite set of points on the line}
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
The lines shown in the graph are parallel to each other so they can't intersect each other, therefore there is no solution ~
No solution is represented by " Empty set {Φ} "
Which equation reveals the minimum or maximum value of f (x) without changing the form of the equation?
)A) ƒ (x) = (x+3)(x − 4)
(B) ƒ (x) = x² - 8x +15
(C)ƒ (x) = (x + 2)² − 1
(D) f(x) =x^2 +2x -1
The function has a minimum if the x2 coefficient is positive. If it is negative, the function has reached its limit. If you have the function 2x2+3x-5, for example, the function has a minimum because the x2 coefficient, 2, is positive. Divide the x term coefficient by twice the x2 term coefficient.
What exactly is an equation?A formal statement of the equality or equivalence of two mathematical or logical expressions. : a quantitative expression representing a chemical reaction using chemical symbols.A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. After solving this equation, we obtain the value of the variable x as x = 7.An equation is made up of expressions that have the same value. A formula is a two- or more-variable equation that represents a relationship between the variables.Hence, The function has a minimum if the x2 coefficient is positive. If it is negative, the function has reached its limit. If you have the function 2x2+3x-5, for example, the function has a minimum because the x2 coefficient, 2, is positive. Divide the x term coefficient by twice the x2 term coefficient.
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( •_•)
identify the temperature that is halfway between the temperatures -20 F
and 10F.
Questions 1-4 of 4 | Page 1 of 1
Question 1 (1 point)
Of 100 boys, 34 are on the Honor Roll, 29 play sports, and 27 are on the Honor Roll and play sports.
What is the probability that a randomly selected student plays sports or is on the Honor Roll? Pick
the most simplified answer.
a
36/100
9/25
Oc 18/50
Od 3/5
Answer:
A 36/100
Step-by-step explanation:
the probability is going to be this because the rates in honor roll and sports are higher than the other 27 that do both.
Cuánto es (5)(-2)(-1)(-8) ayudaaaaaa
Answer:
que
Step-by-step explanation:
no Tengo carnitas yo quero sopes
5/6x + 7 = 17 (step by step pls)
5/6x + 7 = 17
Subtract 7 from both sides:
5/6x = 10
Divide both sides by 5/6:
X = 10/ 5/6
When dividing a number by a fraction flip
The fraction over and multiply:
X = 10 x 6/5
Simplify
X = (10x6)/5
X = 60/5
X = 12
The answer is x = 12
Answer:
\(\boxed {x = 12}\)
Step-by-step explanation:
Solve for the value of \(x\):
\(\frac{5}{6}x + 7 = 17\)
-Subtract both sides by \(7\):
\(\frac{5}{6}x + 7 - 7 = 17 - 7\)
\(\frac{5}{6}x = 10\)
-Multiply both sides by \(\frac{6}{5}\), which is the reciprocal of \(\frac{5}{6}\):
\(x = 10 \times (\frac{6}{5})\)
\(x = \frac{10 \times 6}{5}\)
\(x = \frac{60}{5}\)
-Divide \(60\) by \(5\):
\(x = \frac{60}{5}\)
\(\boxed {x = 12}\)
Therefore, the value of \(x\) is \(12\).
Given that RSTU is a parallelogram and ST is congruent to TU, explain why RSTU must also be a rhombus.
Given:
RSTU is a parallelogram and ST is congruent to TU.
To find:
Why RSTU must also be a rhombus?
Solution:
We know that the opposite sides of a parallelogram are parallel and congruent.
RSTU is a parallelogram. So,
\(RS\parallel TU\) and \(ST\parallel RU\) [Property of parallelogram] ...(i)
\(RS\cong TU\) and \(ST\cong RU\) [Property of parallelogram] ...(ii)
It is given that,
\(ST\cong TU\) ...(iii)
From (ii) and (iii), we get
\(RS\cong TU\cong ST\cong RU\) ...(iv)
From (i) and (iv), we get RSTU is a rhombus because all sides are congruent and appositive sides are parallel.
A parallelogram with each side equal is known as rhombus.
As for the given parallelogram all the sides are equal, therefore it should be rhombus.
What is parallelogram is rhombus?Parallelogram is a closed shaped quadrilateral polygon in which opposite sides are equal and parallel and opposite angles are equal.
What is rhombus?Rhombus is a closed shaped quadrilateral polygon in which all the sides are equal and opposites sides are parallel also opposite angles are equal.
Given information-
In the given problem \(RSTU\) is a parallelogram.
In the given parallelogram \(ST\) is congruent to \(TU\).
The image of parallelogram is attached below.
For a parallelogram opposite sides are equal. thus,
\(RS=TU\\RU=ST\)
As In the given parallelogram \(ST\) is congruent to \(TU\). Thus,
\(ST=TU\)
Now the side \(ST\) is equal to the side \(RU\) and side \(RS\) is equal to the side \(TU\). Thus,
\(RS=ST=TU=RU\)
All the sides of a rhombus is equal in length. A parallelogram with each side equal is known as rhombus.
As all the sides are equal of the given parallelogram. Thus the given parallelogram is rhombus.
Hence, as for the given parallelogram all the sides are equal, therefore it should be rhombus.
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Subtract. Write fractions in simplest form. 2/7 - (6/7) =
The expression is:
\(\frac{2}{7}-(\frac{6}{7})\)the denominator of the two fraction is the same, so we can operate normally so:
\(\frac{2-6}{7}=-\frac{4}{7}\)