Answer:
A. 26
Step-by-step explanation:
substitute the number in for the variables (letters).
[tex]m + 5n \\ \\ 1 + 5(5) \\ 1 + 25 \\ 26[/tex]
Rewrite as equivalent rational expressions with denominator (5c+9)(c−3)(c−8): 8/5c2−6c−27,2c/5c2−31c−72
Rational expressions are expressions that can be represented as a quotient
The equivalent rational expression of [tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8}}[/tex] is [tex]\mathbf{\frac{5c^2 -6c-27}{c - 8}}[/tex]
The expression is given as:
[tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8}}[/tex]
Expand the numerator as follows
[tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8} = \frac{(5c \times c -5c \times 3 + 9\times c -9 \times 3)}{c - 8}}[/tex]
Multiply the factors on the numerator
[tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8} = \frac{(5c^2 -15c+ 9c -27)}{c - 8}}[/tex]
Collect and evaluate like terms
[tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8} = \frac{(5c^2 -6c-27)}{c - 8}}[/tex]
Remove the brackets
[tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8} = \frac{5c^2 -6c-27}{c - 8}}[/tex]
This means that:
[tex]\mathbf{\frac{5c^2 -6c-27}{c - 8}}[/tex] and the given expression [tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8}}[/tex] are equivalent
Hence, the equivalent rational expression of [tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8}}[/tex] is [tex]\mathbf{\frac{5c^2 -6c-27}{c - 8}}[/tex]
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Veronica has two offers for a $65,000 student loan. The first loan has a 6.3% interest rate for 15 years, and the second loan has a 4.8% interest rate for 20 years. Both loans have interest compounded every month. Veronica is interested in finding the loan that minimizes the amount of interest that she will pay over the life of the loan. Which loan has a lower amount of interest paid?
The second option has a lower amount of interest paid.
In order to determine the loan option that minimizes loan payment, the future value of both loan options has to be determined.
FV = P (1 + r)^nm
FV = Future value
P = Present value
R = interest rate
m = number of compounding
N = number of years
First loan option
65000( 1 + 0.063/12)^300 = 312,707.21
Second loan option
65000( 1 + 0.048/12)^240 = 169,435.51
A similar question was answered here: https://brainly.com/question/23082103
What is 1/3÷1/2 math answers?
Answer:
= [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Result in decimals: 0.66666666666667
x = mutiply
[tex]=\frac{1}{3} x\frac{2}{1}[/tex]
[tex]\frac{1 x 2}{3 x 1 }[/tex]
= [tex]\frac{2}{3}[/tex]
(Hope this helps can I pls have brainlist (crown)☺️)
Solve for x, please help, thank you
Answer:x=6
Step-by-step explanation:
x+5x=36
Step 1: Simplify both sides of the equation.
x+5x=36
(x+5x)=36(Combine Like Terms)
6x=36
6x=36
Step 2: Divide both sides by 6.
[tex]\frac{6x}{6} =\frac{36}{6}[/tex]
x=6
Answer:
x=6
thanks i'll mark brainliest
Answer:
m <5=91 is the correct response to this question
If f(x) = 3^{2+x}-3f(x)=3
2+x
−3, what is the value of f(-4)f(−4), to the nearest hundredth (if necessary)?
1. (5 points) Suppose over the past 6 years, you have earn annual raises.
6
Three times your raise was 4%, twice you received only a 2% raise and one
you received a 10% raise. If your current salary is $85,000, what was your
salary before all of those raises?
9514 1404 393
Answer:
$66,027.66
Step-by-step explanation:
The multiplier for the salary with each raise is (1 + raise). That means the original salary is multiplied by ...
(1.04^3)×(1.02^2)×(1.10) = 1.28733935616 = k
Your original salary (O) satisfies ...
O×k = $85,000
O = $85,000/k ≈ $66,027.66 . . . original salary
Can some one double check this for me?
Answer:
Yep everything is correct!
You jsut multiply the beginning value with out the “0”
And then after that for every zero you see from 10-10000 just add the amount of “0”s.
Answer:
its all correct !!
Step-by-step explanation:
good job!
mark me brainliest :D
According to this diagram, what is sin 23°?
67°
13
5
23°
90°
The value of sin(23°) is equivalent to 0.39.
What are trigonometric functions?There are six major trigonometric functions as -
Sine(x)Cosine(x)Tangent(x)Cotangent(x)Secant(x)Cosecant(x)We can write the relation between them as -
Sine = 1/cosecantCosine = 1/secantTangent = 1/CotangentGiven is to find the value of sin 23°.
Now, we can write the value of sin(23°) as -
sin(23°) = sin(30° - 7°)
Expanding using the compound angle formula, we can write -
sin (x - y) = sin(x) cos(y) - cos(x) sin(y)
sin(30° - 7°) = sin(30°) cos(7°) - cos(30°) sin (7°)
sin(30° - 7°) = 1/2 x 0.99 - √3/2 x 0.121
sin(30° - 7°) = 1/2 x 0.99 - √3/2 x 0.121
sin(30° - 7°) = 0.495 - 0.105
sin(30° - 7°) = 0.495 - 0.105
sin(30° - 7°) = 0.39
Therefore, the value of sin(23°) is equivalent to 0.39.
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The diagram below shows two parallel lines, m and n, cut by a transversal, k. Angles A, B, and C are shown in the diagram
A student writes a proof to show that the corresponding angles, A and B, are congruent. The student's proof is shown below
A. Both reason 2 and Reason 3 are correct as shown in the table
B. Reason 2 is correct, but Reason 3 should "Alternate interior angles are congruent"
C. Reason 2 should be "Alternate interior angles are congruent," but Reason 3 is correct
D. Both Reason 2 and Reason 3 should be "Alternate interior angles are congruent"
(look at picture to understand better)
9514 1404 393
Answer:
B
Step-by-step explanation:
Angles A and C are vertical angles; angles B and C are alternate interior angles. Only line 3 of the proof is in error.
The applicable description is found in choice B.
There is a 0.9968 probability that a randomly selected 50 year old female lives through the year (based on data from the US department of Health and Human Services). A Fidelity life insurance company charges $226 for insuring that the female will live through the year. If she does not survive the year, the policy pays out $50,000 as a death benefit.
There is a 0.9968 probability that a randomly selected 50-year-old female lives through the year (based on data from the U.S. Department of Health and Human Services).
-------------------
A Fidelity life insurance company charges $226 for insuring that the female will live through the year. If she does not survive the year, the policy pays out $50,000 as a death benefit.
From the perspective of the 50-year-old female, what are the values corresponding to the two events of surviving the year and not surviving?
----
Ans: -226 ; 50,000-226 = 49774
-------------------------
If a 50-year-old female purchases the policy, what is her expected value?
WORK TRIED:
In the event she lives, the value is -$226. In the event she dies, the value is $49,774.
----
E(x) = 0.9968*(-226) + 0.0032(49774) = -$66
==================================================
Cheers,
ROR
Find the equation of the exponential function represented by the table below:
x y
0 0.01
1 0.03
2 0.09
3 0.27
y=
Answer:
y = 0.01(3ˣ)
Step-by-step explanation:
In a 2004 poll of 500 cell phone users conducted by the Yankee Group, 20% indicated that they had received commercial messages or ads on their cell phones. Is there sufficient evidence to conclude that the proportion of cell phone users who have received commercial messages or ads in 2004 was greater than the proportion of .13 reported for the previous year
Answer:44÷58+44
Step-by-step explanation:
the current population of earth is estimated to be about 7,440,000,000. express number in scientific notation
Answer:
7.44x10^9
Step-by-step explanation:
In order to join the next yoga class at the YMCA, you must pay a $50 annual fee, then $4 for each class you attend. How many classes can you attend if you budget to spend $98.00 that year on Yoga?
Answer:
12 Yoga classes
Step-by-step explanation:
50 + 4x = 98
Subtract 50 on each side
4x = 48
Divide by 4 on each side
x= 12
You can attend 12 yoga classes in a year with a $98 budget.
WILL GIVE BRAINLEST! HELP ME ASAP
These tables of ordered pairs represent some points on the graphs of lines s and t.
Which system of equations is represented by lines s and t?
5x−2y=−157x+4y=20
3x+5y=−185x−9y=25
x+4y=−89x−y=21
2x−y=−142x+y=6
Answer:
Step-by-step explanation:
Line s
slope m = Δy / Δx = (22 - 4) / (4 - (-5)) = 18/9 = 2
y = mx + b
22 = 2(4) + b
b = 14
y = 2x + 14
which can be rearranged to
2x - y = -14
Line t
slope = ( -4 - 14) / (5 - (-4)) = -18/9 = -2
-4 = (-2)(5) + b
b = 6
y = -2x + 6
2x + y = 6
2x − y = −14 2x + y = 6
solve the system of equations by graphing.
3x + y = -4
x - 2y = -6
Answer:
(-2,2)
Step-by-step explanation:
Find the square of the given algebraic expression (p+9).
I mark u brainliest answer
Convert fractions into percents
1/16= __
Answer:
160%
Step-by-step explanation:
Multiply both numerator and denominator by 100. 1.6 × 100100.
= (1.6 × 100) × 1100 = 160100.
Write in percentage notation: 160%
I need help on this please help
Answer:
4
Step-by-step explanation:
[tex]\sqrt[3]{64}[/tex] = [tex]\sqrt[3]{4*4*4}[/tex]=4
Elizabeth recently bought a new bike, and she has started biking to and from work. The
round-trip distance is 9 kilometers.
Write an equation that shows the relationship between the number of round trips, x, and
the total number of kilometers Elizabeth has biked, y.
Answer:
the answer is 9x
Step-by-step explanation:
y=9x is the relationship between the number of round trips, x, and the total number of kilometers Elizabeth has biked, y.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that,
Elizabeth recently bought a new bike, and she has started biking to and from work.
The round-trip distance is 9 kilometers.
We need to find an equation that shows the relationship between the number of round trips, x, and the total number of kilometers Elizabeth has biked, y.
y=9x
Hence y=9x is the relationship between the number of round trips, x, and the total number of kilometers Elizabeth has biked, y.
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A car traveled 81.6 mi in 1.6 hours.
Rate is found by dividing distance by time.
What is the rate in miles per hour?
Answer:
51
Step-by-step explanation:
81.6/1.6
Hope this helps. :)
What is 4/9 - 1/12 least common moltiple
Answer:
36
Step-by-step explanation:
The LCM of 4, 9, and 12 is the product of all prime numbers on the left, i.e. LCM(4, 9, 12) by division method = 2 × 2 × 3 × 3 = 36.
[tex]\frac{4}{9} -\frac{1}{12} = \frac{4.4}{9.4} - \frac{1.3}{12.3} = \frac{16}{36}- \frac{3}{36} = \frac{13}{36}[/tex]
ok done. Thank to me :>
solve pls brainliest
Answer:
23.4
Step-by-step explanation:
23.4
Answer:
23.40
Step-by-step explanation:
A line that passes through the points (12,12) and (20,6)
Answer:
8,48 I think
Step-by-step explanation:
I subtracted them from each other
The required equation of the line is given as y = -6x / 8 + 21.
Given that,
A line that passes through points (12,12) and (20,6)
The slope of the line is a tangent angle made by line with horizontal. i.e. m = tanx where x in degrees.
here,
Standard equation of the line,
y -y₁ =(y₂ - y₁) / (x₂ - x₁) (x - x₁)
Substitute the point in the above equation,
y - 12 = (6-12)/(20 - 12)[x - 12]
y = -6/8[x - 12] + 12
y = -6x/8 +9 + 12
y = -6x / 8 + 21
Thus, the required equation of the line is given as y = -6x / 8 + 21.
Learn more about slopes here:
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1.5 - x
0.4 = - 7.75
Answer:−0.6
Step-by-step explanation:
(-1).3/5=−0.6
Evaluate 4x squared - 8x + 8 when x = -6
Answer:
44
Step-by-step explanation:
√4×-6+8×6+8=2×-6+48+8
-12+48+8
=48
Hey there!
4x^2 - 8x + 8
= 4(-6)^2 - 8(-6) + 8
= 4(6)(6) - 8(-6) + 8
= 4(36) - (-48) + 8
= 144 - (-48) + 8
= 144 + 48 + 8
= 192 + 8
= 200
Therefore, your answer is: 200
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
The product factor is 4,200.If one of the factor is 60 what is the other factor?Explain
Answer: The other factor is 70
Explanation: 4,200 divided by 60 is 70.
Mrs lee bought four times as many ties as wallets. He spent $840 altogether. A wallet cost $50 more than a tie. The total cost of the ties was $184 more than the total cost of the wallets. How many wallets did he buy?
Answer:
wa
at you ım prenses
Step-by-step explanation:
you ind soluk
what is 1/2 + 1/12? Please and thank you
Answer:
7/12
Step-by-step explanation:
1/2 + 1/12?
To add fractions, find the LCD and then combine.
Exact Form:
7 /12
Decimal Form:
0.583
Answer:
18/12 or 3/2
Hope this helps!
