it is three fifths,
and it is the answer.
Which shows the rational expression written using the least common denominator x 1/4x2 x 1/x2
The rational expression written using the least common denominator [tex]\frac{x+1}{4x^{2} }+\frac{x+1}{x^{2} }\\[/tex] is [tex]\frac{x+1}{4x^{2} }+\frac{4(x+1)}{4x^{2} }[/tex].
What is a rational expression?The ratio of two polynomials is displayed in rational expressions. It indicates that the denominator and numerator are polynomials. It is an algebraic expression that has a ratio and an unknown variable, just like a fraction. Although we can simplify this kind of equation with the aid of a calculator.
Because one is divided by the other, just like a ratio, it is a "rational expression."
The polynomial that we divide by cannot be zero, as a reminder.
The least common denominator for [tex]4x^{2}[/tex] and [tex]x^{2}[/tex] is calculated to be [tex]4x^{2}[/tex].
Thus, the required rational expression is [tex]\frac{x+1}{4x^{2} }+\frac{4(x+1)}{4x^{2} }[/tex].
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The mean of the Normal distribution determines the ___________ of the distribution. Please complete the sentence by selecting one of the word below:
A) location
B) percentage
C)Spread
D) proportion
Step-by-step explanation:
location
of the distribution.
Solve for x.
2x² = x+6
If there is more than one solution, separate them with commas. If there is no solution, click on “No Solution.”
Answer:
no solution
Step-by-step explanation:
2x²+ x + 6 = 0
Use quadratic formula
x = (-b±√(b²-4ac))/2a
x = (-1±√(1²-4(2)(6)))/2(2)
x = (-1±√(-47))/2(2)
Identify the binomial
Answer:
D.
Step-by-step explanation:
D. is the binomial since it has 2 terms.
Which graph corresponds to the table? Giving brainliest to accurate answer.
Answer:
Last graph that slopes upwards from left to right and that has an y-intercept of -1
Step-by-step explanation:
let us pick some points!(you can chose any two)
when x =3 , y = 14 : helps us get points (3,14)
when x =1 , y = 4 : helps us get points (1,4)
so we find the gradient using the two points:
[tex]gradient \ =\frac{14-4}{3-1} =\frac{10}{2} \\[/tex]
we now use gradient 10/2 and point (1,4) to find the equation of the line:
[tex]\frac{10}{2} =\frac{y-4}{x-1} \\2(y-4)=10(x-1)\\2y-8=10x-10\\2y=10x-10+8\\2y=10x-2\\y=5x-1[/tex]
from the equation of the line found we are able to find the y- intercept of the line is -1 and that the line has a positive gradient thus should slope upwards from left to right.
From the pictures you posted, we pick the last graph as it seem to slope upwards from left to right and has the line cutting y axis at around -1
The set of natural numbers x that satisfy x+8=3
Answer:
-5
Step-by-step explanation:
x+8=3
x=3-8
we can easily say +3-8=-5
What is the asset turnover?
Answer:
the ratio of total sales or revenue to average assets
Step-by-step explanation:
djjcjdm.x....
Answer:
Days of Asset Turnover The Enterprise Accounting System specifies that the net revenue from main business of an enterprise should be the amount of revenue from main business after deducting sales discounts and sales discounts, which is called net revenue from main business. Total asset turnover ratio = total sales revenue / average total assets x 100%.
Step-by-step explanation:
i need help with this could you please help me
Answer:
it is A
Step-by-step explanation:
What is the volatile acid/alkalinity relationship in a digester if the alkalinity is 2400 mg/L and the volatile acids are 90 mg/L?
The volatile acid/alkalinity relationship in a digester is volatile acid/alkalinity = 3/80
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Ratio of volatile acid to alkalinity = 90 mg/L ÷ 2400 mg/L = 3/80
The volatile acid/alkalinity relationship in a digester is volatile acid/alkalinity = 3/80
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if the following data were transformed, and points with the coordinates (x, log) y)) were plotted, what points would be plotted? round log(y) to three decimal places.
x y
3 125
4 625
5 3125
A. (3, 2.097), (4, 2.796), (5, 3.495)
B. (2.097, 3), (2.796, 4), (3.495, 5)
C, (125, 2.097), (625, 2.796), (3125, 3.495)
D. (2.097, 125), (2.796, 625), (3.495, 3125)
Option A is accurate. The points were plotted with the coordinates (x, log) y), and they are (3, 2.097), (4, 2.796), and (5, 3.495).
What is the definition of a logarithm?
Exponents can also be written as logarithms. The other number is equal to a logarithm with a number base. It's the exact inverse of the exponent function.
Identity used;
[tex]\rm log_x (y) = z \\\\ z^x=y[/tex]
From the data we obtained;
[tex]\rm log_3(125) = 5 \\\\ 5^3 = 125[/tex]
[tex]\rm log_5 625 = 4 \\\\ 5^4 = 625[/tex]
[tex]\rm log_5 (3125) = 5 \\\\ 5^5 = 3125[/tex]
The points with the coordinates (x, log) y)) were plotted, the points are (3, 2.097), (4, 2.796), (5, 3.495)
Hence, option A is correct.
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(a) Find x given that [tex]4^x=2[/tex]
(b) Let x = 1.1609... be the positive real number such that [tex]4^x=5[/tex]. Prove that x is irrational.
Answers:
(a) x = 0.5
(b) Given Below.
Explanation:
(a)
[tex]4^x = 2[/tex]
apply ln both sides
[tex]ln(4^x) = ln(2)[/tex]
simplify
[tex]xln(4) = ln(2)[/tex]
divide both sides by ln(4)
[tex]x = 0.5[/tex]
(b)
Recall that rational numbers can be expressed in fractions a/b
[tex]4^x = 5[/tex]
apply ln on both sides
[tex]ln( 4^x) = ln(5)[/tex]
simplify
[tex]xln( 4) = ln(5)[/tex]
divide both sides by ln(4)
[tex]x =\frac{ ln(5)}{ln(4)}[/tex]
simplify
[tex]x =1.160964047...[/tex] The value is endless and continues.
The following cannot be expressed as a fraction or whole number.
Hence, the following value of x is irrational.
Find the value of x. Round to the nearest tenth. X 12 32° Not drawn to scale Find the value of x . Round to the nearest tenth . X 12 32 ° Not drawn to scale
Step-by-step explanation:
ATTACHED IS THE SOLUTION!!!You plan to borrow $36,500 at a 7.7% annual interest rate. The terms require you to amortize the loan with 7 equal end-of-year payments. How much interest would you be paying in Year 2?
The amount of interest you would be paying in Year 2 is: $2,492.62.
InterestFirst step is to calculate the Equal Monthly Payment
Equal Monthly Payment=P×r×(1+r)^t/(1+r)^t-1
Where:
P=Principal=$36,500
r=Rate=7.7%
t=Time=7 years
Equal Monthly Payment=36,500×0.077×(1+0.077)^7÷(1+0.077)^7-1
Equal Monthly Payment=36,500×0.077×(1.077)^7÷(1.077)^7-1
Equal Monthly Payment=36,500×0.077×1.6807763÷1.6807763-1
Equal Monthly Payment=4,723.82/0.6807763
Equal Monthly Payment=$6,938.875
Second step is to calculate Year 1 Closing balance
Year 1 Closing balance = Beginning balance + Interest - EMI Payment
Year 1 Closing balance= $36,500 +($36,500×7.7%) - $6,938.875
Year 1 Closing balance= $36,500 + $2,810.5 -$6,938.875
Year 1 Closing balance = $32,371.625
Third step is to calculate year 2 interest
Year 2 Interest= $32,371.625×7.7%
Year 2 Interest=$2,492.62
Therefore the amount of interest you would be paying in Year 2 is: $2,492.62.
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Show all work pleaseee and thank you
Work is attached. Hope it helped!
The ratio of the numerator to the denominator of a certain fraction is one to four. If three is added to the numerator and
subtracted from the denominator, the new fraction reduces to one-third. What is the original fraction?
A 12/45
B 15/45
C 12/48
Answer:
C 12/48
Step-by-step explanation:
Original fraction:
x/y
The ratio of the numerator to the denominator is 1:4, so
x/y = 1/4
Cross multiply:
y = 4x
If three is added to the numerator and subtracted from the denominator, the new fraction reduces to one-third.
(x + 3)/(y - 3) = 1/3
Cross multiply:
3(x + 3) = 1(y - 3)
3x + 9 = y - 3
Above, we have y = 4x, so substitute 4x for y in the equation just above and solve for x.
3x + 9 = 4x - 3
12 = x
x = 12
y = 4(12) = 48
The original fraction is x/y = 12/48
Sasha made a model of a clipper ship. If her model has a length of 18 inches, and the original ship has a length of 160 feet and a width of 32 feet, what should be the width of her model?
The width of the model is 3.6 inches.
What are Similar Figures?The figures with the same shape are said similar when the sides of both the figures are in proportion.
Sara has a model of length = 18inches.
The original ship has a length is 160 ft
The width of the original ship is 32 ft
The model is a scaled-down version of the original figure and so the length and width of the model will be in the same proportion as the original dimensions.
Let x represents the width of the model then,
160/18 = 32/x
x = 32 * 18 / 160
x= 3.6 inches.
Therefore, the width of the model is 3.6 inches.
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The simple interest on a certain sum of money for 2 years at 5% per annum is Rs 320. What will be the compound interest on the same sum for the same time at the same rate, the interest being calculated yearly? D 1800 cimple interest in 10 years. Find the The simple interest on a certain sum of money for 2 years at 5 % per annum is Rs 320. What will be the compound interest on the same sum for the same time at the same rate , the interest being calculated yearly ? D 1800 cimple interest in 10 years . Find the
Answer:
Rs 328
Step-by-step explanation:
Find the principal amount invested.
Simple Interest Formula
I = Prt
where:
I = interest earnedP = principalr = interest rate (in decimal form)t = time (in years)Given:
I = Rs 320r = 5% = 0.05t = 2 yearsSubstitute the given values into the formula and solve for P:
⇒ 320 = P(0.05)(2)
⇒ 320 = P(0.1)
⇒ P = 3200
Compound Interest Formula
[tex]\large \text{$ \sf I=P\left(1+\frac{r}{n}\right)^{nt} -P$}[/tex]
where:
I = interest earnedP = principal amountr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsedGiven:
P = 3200r = 5% = 0.05n = 1 (annually)t = 2 yearsSubstitute the given values into the formula and solve for I:
[tex]\implies \sf I=3200\left(1+\frac{0.05}{1}\right)^{2} -3200[/tex]
[tex]\implies \sf I=3200\left(1.05\right)^{2} -3200[/tex]
[tex]\implies \sf I=3200\left(1.1025\right) -3200[/tex]
[tex]\implies \sf I=3528-3200[/tex]
[tex]\implies \sf I=328[/tex]
Therefore, the compound interest on the same sum for the same time at the same rate is Rs 328.
Please help! Fred mixes a solution using two types of solutions: 0.60 liters containing 10% alcohol and 0.40 liters containing 35% alcohol.
What is the alcohol concentration of the mixed solution?
Answer:
20%
Step-by-step explanation:
Total Litres in mixture=(0.60+0.4)=1 Litre
alcohol in first portion:=0.10(0.60)=0.06 Litres
alcohol in second portion:=0.35(0.40)=0.14 Litres
Total alcohol in mixture = 0.06 +0.14 = 0.20
% of alcohol in mixture:
[tex]\frac{0.2}{1} (100) = 20%[/tex]%
Answer: 20%. Based on the given conditions, formulate:: 35% * 0.4 + 0.6 * 10% / 0.4 + 0.6Calculate the product
What is 1/4+1/6=
Please help me I’ll make the first person Brainiest
Answer:
[tex]\dfrac{5}{12}[/tex]
Explanation:
[tex]\dfrac{1}{4} + \dfrac{1}{6}[/tex]
The least common multiple of 4 and 6 is 12
So, make the denominator's same
[tex]\dfrac{3(1)}{12} + \dfrac{2(1)}{12}[/tex]
multiply numbers
[tex]\dfrac{3}{12} + \dfrac{2}{12}[/tex]
Join both fractions
[tex]\dfrac{3+ 2}{12}[/tex]
simplify following
[tex]\dfrac{5}{12}[/tex]
15) Complete.
Purchase Price: $450
Finance Charge: $82,50
Down Payment: $150
Number of Payments: 18
Monthly Payment:
O a.) $22.15
Ob.) $20.45
Oc.) $21.25
Od.) $22.25
Answer:
d is correct answer
Problem
(a) Expand and simplify [tex](x^2+2)^2[/tex].
(b) Hence fully factorise [tex]x^4 +4x+3[/tex].
a. [tex]x^4 + 4x^2 + 4[/tex]
b. x = ∛-1 and -3
How to expand the expressiona. Given
(x² + 2)²
First, we open up the bracket
[tex](x^2 + 2) (x^2 + 2)[/tex]
Multiply through
[tex]x^4 + 2x^2 + 2x^2 + 4[/tex]
Collect like terms
[tex]x^4 + 4x^2 + 4[/tex]
b. Let's factorize
[tex]x^4 + 4x + 3[/tex]
Find the factors of 3 that are products of 4, they are 3 and 1
Use it to replace 4x as 3x and x
[tex]x^4 + 3x + x + 3[/tex]
Let's make the expression two
[tex](x^4 + 3x) (x+ 3)[/tex]
Find the common factor
[tex]x^3(x + 3)+ 1(x+ 3)[/tex]
So,
[tex]x^3 + 1 = 0[/tex] and [tex]x + 3 = 0[/tex]
[tex]x = 3\sqrt{-1}[/tex] and x = -3
Thus, x = ∛-1 and -3
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X=11 Give the equation of the line parallel which passes through (9,5)
Step-by-step explanation:
x = 11
is a vertical line going through x = 11.
a parallel line going through (9,5) has to be a vertical line too and use x = 9.
so, that is the equation :
x = 9.
to search
O
02/
Active
O
1
What is the value of the expression "three less than the quotient of ten and a number, increased by six" when n = 2?
2
-7/4
8
19/12
The value of the expression given the information about the quotient is 8.
How to calculate the value?From the information given, the equation will be:
= (10/n - 3) + 6
where n = 2
(10/2 - 3) + 6
= (5 - 3) + 6
= 2 + 6
= 8
In conclusion, the correct option is 8.
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Solve 7x2(x + 1) = 6x + 14
Ox=-12
Ox = 12
Ox= -16
Ox = 16
[tex]\large\displaystyle\text{$\begin{gathered}\sf 7x-2(x+1)=6x+4 \end{gathered}$}[/tex]
Use the distributive property to multiply −2 by x+1.
[tex]\large\displaystyle\text{$\begin{gathered}\sf 7x-2x-2=6x+14 \end{gathered}$}[/tex]Combine 7x and −2x to get 5x.
[tex]\large\displaystyle\text{$\begin{gathered}\sf 5x-2=6x+14 \end{gathered}$}[/tex]Subtract 6x on both sides.
[tex]\large\displaystyle\text{$\begin{gathered}\sf 5x-2-6x=14 \end{gathered}$}[/tex]Combine 5x and −6x to get −x.
[tex]\large\displaystyle\text{$\begin{gathered}\sf -x-2=14 \end{gathered}$}[/tex]Add 2 to both sides.
[tex]\large\displaystyle\text{$\begin{gathered}\sf -x=14+2 \end{gathered}$}[/tex]Add 14 and 2 to get 16.
[tex]\large\displaystyle\text{$\begin{gathered}\sf -x=16 \end{gathered}$}[/tex]Multiply both sides by −1.
[tex]\large\displaystyle\text{$\begin{gathered}\sf x=-16 \ \ \to \ \ \ Answer \end{gathered}$}[/tex]{ Pisces04 }[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Equation:}[/tex]
[tex]\mathsf{7x - 2(x + 1) = 6x + 14}[/tex]
[tex]\huge\textbf{DISTRIBUTE 2 WITHIN the}\\\\\huge\textbf{PARENTHESES:}[/tex]
[tex]\mathsf{7x - 2(x) + 2(1) = 6x + 14}[/tex]
[tex]\mathsf{7x - 2x - 2 = 6x + 14}[/tex]
[tex]\huge\textbf{COMBINE the LIKE TERMS (if you}\\\\\huge\textbf{have any):}[/tex]
[tex]\mathsf{(7x - 2x) - 2 = 6x + 14}[/tex]
[tex]\mathsf{5x - 2 = 6x + 14}[/tex]
[tex]\huge\textbf{ADD 2 to BOTH SIDES:}[/tex]
[tex]\mathsf{5x - 2 + 2 = 6x + 14 + 2}[/tex]
[tex]\huge\textbf{SIMPLIFY IT!}[/tex]
[tex]\mathsf{5x = 6x + 16}[/tex]
[tex]\huge\textbf{SUBTRACT 6x to BOTH SIDES}[/tex]
[tex]\mathsf{5x - 6x = 6x + 16 - 6x}[/tex]
[tex]\huge\textbf{SIMPLIFY IT!}[/tex]
[tex]\mathsf{-x = 16}[/tex]
[tex]\mathsf{-1x = 16}[/tex]
[tex]\huge\textbf{DIVIDE -1 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{-1x}{-1} = \dfrac{16}{-1}}[/tex]
[tex]\huge\textbf{SIMPLIFY IT!}[/tex]
[tex]\mathsf{x = \dfrac{16}{-1}}[/tex]
[tex]\mathsf{x = -16}[/tex]
[tex]\huge\text{Therefore, your answer should be: \boxed{\mathsf{x = -16}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
What are all values of x that satisfy 4x-1 < 6x+9
The values of x that makes the inequality true are all values less than -5
Inequality expressionsGiven the inequalities below expressed as;
4x-1 < 6x+9
Collect the like terms
4x-6x < 9+1
-2x < 10
x <-10/2
x < -5Hence the values of x that makes the inequality true are all values less than -5
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Which is the best definition of closure?
Number sets are closed under an operation when you perform the operation and the result is a number that is not a real number.
Number sets are closed under an operation when you perform the operation and the result is a member of the opposite number set.
Number sets are closed under an operation when you perform the operation and the result is a member of a related number set.
Number sets are closed under an operation when you perform the operation and the result is another member of the same number set
Answer:
Number sets are closed under an operation when you perform the operation and the result is another member of the same number set
Evaluate 2b2+b+y2 when b=5
Answer:
[tex]y^2 + 55[/tex]
Step-by-step explanation:
Solution
Step 1: Plug in value of b as 5.
[tex]2(5)^2 + (5) + y^2[/tex]Step 2: Simplify
[tex]50 + 5 +y^2[/tex] [tex](50+5) + (y^2)[/tex] [tex]y^2 + 55[/tex]Therefore, the answer is y^2 + 55.
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Equation:}[/tex]
[tex]\mathbf{2b^2 + b + y^2}[/tex]
[tex]\huge\textbf{Conversion:}[/tex]
[tex]\mathbf{2(5)^2 + 5 + y^2}[/tex]
[tex]\huge\textbf{Simplify it:}[/tex]
[tex]\mathbf{2(5)^2 + 5 + y^2}[/tex]
[tex]\mathbf{= 2(5\times5) + 5 + y^2}[/tex]
[tex]\mathbf{= 2(25) + 5 + y^2}[/tex]
[tex]\mathbf{= 50 + 5 + y^2}[/tex]
[tex]\mathbf{= 55 + y^2}[/tex]
[tex]\mathbf{= y^2 + 55}[/tex]
[tex]\huge\textbf{Therefore, your answer should be: }[/tex]
[tex]\huge\boxed{\textsf y\frak{^2 + 55}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]Solve quadratic equation 10x^2+x-2=0
Answer:
[tex]\{-\frac{1}{2} \} \cup \{\frac{2}{5}\}[/tex]
Step-by-step explanation:
[tex]10x^2 + x - 2 = 0; \\ a = 10, b = 1, c = -2; \\ D = b^2 - 4ac = 1^2 - 4 * 10 * (-2) = 1 + 80 = 81 = 9^2, > 0; \\ x_{1, 2} = \frac{-b \pm \sqrt{D}}{2a} = \frac{-1 \pm \sqrt{9^2}}{2 * 10} = \frac{-1 \pm 9}{20} = \left \ [ {{\frac{-1 - 9}{20} = -\frac{10}{20} = -\frac{1}{2} } \atop {\frac{-1 + 9}{20} = \frac{8}{20} = \frac{2}{5}}} \right.[/tex]
The table shows the names of four company owners. One of them funded a
study showing that company A has the longest-lasting products. Funding by
which owner would make you skeptical of the results?
Company
Company A
Company B
Company C
Company D
A. Elsa Juarez
B. Xander McCoy
C. Joel Mabaso
D. Francesca Xi
Owner of company
Francesca Xi
Xander McCoy
Elsa Juarez
Joel Mabaso
The owner funding that would make you skeptical of the results is: D. Francesca Xi.
The owner funding that would make you skeptical of the resultsCompany A funded the study which will attract potential customer to the company product as the company product will be more attractive to customers after the study.
Hence, since company A which is Francesca Xi has the longest-lasting products, he will be the business owner funding that would make you skeptical of the results .
Therefore the correct option is D.
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A real estate agent is working for a developer who claims that the average commute time to downtown is 20 minutes with a standard deviation of 7 minutes. Stephon is an independent real estate agent and wants to check the times for his client. He took a random sample of 15 commute times and found an average of 26 minutes. He did hypothesis testing using a significance level of 5%. Which conclusion could he make?
The z-statistic is 0.22, so the null hypothesis should not be rejected.
The z-statistic is 1.69, so the null hypothesis should not be rejected.
The z-statistic is 3.32, so the null hypothesis should be rejected.
The z-statistic is 3.67, so the null hypothesis should be rejected.Tyesha found that the z-statistic was 2.1 and that the critical z-values were -1.96 and 1.96. Which of the following is a valid conclusion based on these results?
One can reject the null hypothesis.
One can reject the alternate hypothesis.
One can accept the null hypothesis.
One cannot accept or reject the null hypothesis.
The correct option is C which is The z-statistic is 3.32, so the null hypothesis should be rejected. One can reject the null hypothesis.
What is the null hypothesis?When there are two possibilities then we calculate the null hypothesis if the hypothesis is true hypothesis is accepted if it is
To conduct a hypothesis test for the above situation. We define the null hypothesis and the alternative hypothesis.
The null hypothesis is the claim that the average commute time to downtown is 20 minutes while the alternative hypothesis is a contradiction of the null hypothesis which is that the average commute time to downtown is not 20 minutes.
i.e. H0: μ = 20 and H1: μ ≠ 20.
The z-statistics is given by (sample mean - hypothesized mean) divided by (standard deviation divided by the square root of the sample size).
i.e.
[tex]z= \dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]
x = 26, [tex]\mu[/tex] = 20, [tex]\sigma[/tex] = 7 and n = 15 putting the values in the question we will get the z-score value.
[tex]z = \dfrac{26-20}{\dfrac{7}{\sqrt15}}[/tex]
z = 6 / 1.807
z = 3.32
Therefore, the z-statistic is 3.32, so the null hypothesis should be rejected. Because the calculated value of z (3.32) is greater than the table value of z (1.96).
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