Answers
3^5x = 3 ^ 3(2x-4)
This becomes
3^5x= 3 ^6x-12
Now that the bases are the same, set the exponents equal to one another
5x= 6x-12
Subtract 6x on both sides
-x= -12
Divide -1 on both sides
X=12
#brainliest????
Answer:
x = 12
Step-by-step explanation:
First:
[tex]27=9*3=3*3*3=3^3[/tex]
If you rewrite the 27 into base 3 like that:
[tex]3^{5x}=3^{(3)\times(2x-4)[/tex]
Now that both sides have the same base, you can cancel them out. This is the simplest example of that I can think of:
[tex]2^x=2^x[/tex]
Here, the exponent obviously has to be equal for this to be true, right? The exponents do have to be equal, so you can drop the bases completely:
[tex]x=x[/tex]
Same for the problem we have above. It's a base 3 on both sides, and for them to be equal, the exponents also have to be equal.
[tex]3^{5x}=3^{(3)\times(2x-4)}\\5x=(3)\times(2x-4)\\5x=3(2x-4)[/tex]
Now, you can simply solve for x.
[tex]5x=6x-12\\-1x=-12\\x=12[/tex]
Related Questions
6 Petra wants to buy an electronic reader that costs $160.75 including tax. She has saved $34.75 SO
far and plans to save an additional $10.50 each week. For how many weeks will Petra need to
save $10.50 to have enough money to buy the electronic reader
Answers
Answer:
Petra would need to save for 12 weeks to get 126
126+34.75=160.75
Petra need to save $10.50 to have enough money to buy the electronic reader in 12 weeks.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Petra wants to buy an electronic reader that costs $160.75 including tax. She has saved $34.75.
Here, So far and plans to save an additional $10.50 each week.
Let number of weeks to save $10.50 to have enough money to buy the electronic reader = x
So, We can formulate;
⇒ 10.50x + 34.75 = 160.75
Solve for x;
⇒ 10.50x = 160.75 - 34.75
⇒ 10.50x = 126
⇒ x = 126/10.50
⇒ x = 12
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i need help with this math question
Answers
Answer:
D. f(x) = -6x^3 -5x^2 +21x
Step-by-step explanation:
The given zeros mean the function has factors ...
(x -(-7/3))(x -3/2)(x -0)
Multiplying by 6, we can write this as ...
(3x +7)(2x -3)(x) = 6x^3 +5x^2 -21x
And multiplying by -1 gives ...
-6x^3 -5x^2 +21x . . . . . matches choice D
__
Additional comment
The product of factors will be zero when f(x) = 0. This means we can multiply or divide by any convenient factor and the product will remain zero. Effectively, we have multiplied our original factorization by -6 to make the expression match one of the given forms. When we write this final expression as the function f(x), it remains true that the given zeros are zeros (x-intercepts) of f(x).
Write 90 as a product of primes. Use index notation when giving your answer.
Answers
Answer:
90 =3 × 3 × 5 × 2.
Step-by-step explanation:
............
45/3= 15
15/3=5
5/5=1
90= 2*3*3*5 = 2*3 (raised to the power of 2) *5
Please help i've been stuck on this for awhile now-
Answers
Answer:
3²
Step-by-step explanation:
The factors 3³ in the numerator and denominator cancel each other. Anything divided by itself is 1. Anything multiplied by 1 is unchanged.
[tex]\dfrac{3^3\cdot3^2}{3^3}=\dfrac{3^3}{3^3}\cdot3^2=1\cdot3^2=3^2[/tex]
_____
Additional comment
The exception is that 0 divided by itself is indeterminate.
Grayson is flying a kite, holding his hands a distance of 2.75 feet above the ground and letting all the kite’s string play out. He measures the angle of elevation from his hand to the kite to be 26
∘
∘
. If the string from the kite to his hand is 145 feet long, how many feet is the kite above the ground? Round your answer to the nearest hundredth of a foot if necessary.
Answers
The position of the kite with the point directly beneath the kite at the same
level with the hand and the hand for a right triangle.
The height of the kite above the is approximately 66.314 feet.Reasons:
The height of his hands above the ground, h = 2.75 feet
Angle of elevation of the string (above the horizontal), θ = 26°
Length of the string, l = 145 feet
Required:
The height of the kite above the ground.
Solution:
The height of the kite above the ground is given by trigonometric ratios as follows;
[tex]\displaystyle Height \ of \ kite, \, k_h = \mathbf{h + l \times sin(\theta)}[/tex]
Therefore;
[tex]\displaystyle Height \ of \ kite, \, k_h = 2.75 + 145 \times sin(26^{\circ}) \approx \mathbf{66.314}[/tex]
The height of the kite above the, [tex]k_h[/tex] ≈ 66.314 feet
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Evaluate the function f(x) = â€""2x2 â€"" 3x 5 for the input value â€""3. â’22 â€""4 2 32.
Answers
The equivalent value of the function f(x) = –2x^2 – 3x + 5 if x = -3 is -4
We are to evaluate the function f(x) = –2x2 – 3x + 5 for the input value –3.
Given the function:
f(x) = –2x^2 – 3x + 5For x = -3, we will have to substitute x = -3 into the expression to have:
f(-3) = –2(-3)^2 – 3(-3) + 5
f(-3) = -2(9) + 9 + 5
f(-3) = -18 + 14
f(-3) = -4
Hence the equivalent value of the function f(x) = –2x^2 – 3x + 5 if x = -3 is -4
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Will I see an uplift in SEO traffic from a domain migration?
Answers
It should be noted that a domain migration will temporarily lead to a loss of traffic but in the long run, the person will see an uplift in SEO traffic.
A domain migration simply means the shifting between domains without impairment.
A domain migration will result in a temporary loss of traffic. This is because it needs time for it to be processed and updated. After this is done, there will be an uplift in SEO traffic.
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lines y = -x+2 and y=x+1
point of intersection of the linear equations is
(0,2)
(0.5, 1.5)
(-1,0)
(2,0)
Answers
[tex]\\ \sf\Rrightarrow y=-x+2[/tex](1)
[tex]\\ \sf\Rrightarrow y=x+1[/tex](2)
Now
[tex]\\ \sf\Rrightarrow -x+2=x+1[/tex]
[tex]\\ \sf\Rrightarrow -2x=-1[/tex]
[tex]\\ \sf\Rrightarrow x=0.5[/tex]
Put in eq(2)
[tex]\\ \sf\Rrightarrow y=0.5+1[/tex]
[tex]\\ \sf\Rrightarrow y=1.5[/tex]
1) You are considering buying a three-year warranty for a new air conditioner unit for $350. The warranty will cover the $2,800 replacement cost if the unit breaks down. Suppose the probability that the unit breaks down in the three year period is 8%. Based ONLY on this information, should you buy the warranty?
Answers
Answer:
The expected value is -$126- you should not buy the warranty.
Step-by-step explanation:
You will pay $350 for a warranty that pays $2800, therefore the net value is $2800 - $350.
E(x)= (2800-350)(.8)+(-350)(.92)= -126
What is the value of 2^2n ?
Answers
Answer:
2^2n = 4n
hope it helps you :)
Answer:
4n
Step-by-step explanation:
2^2n = 4n
hope u liked this answer :)
Find the regression equation, letting the first variable be the predictor (x) variable. Using the listed lemon/crash data, where lemon imports are in metric tons and the fatality rates are per 100,000 people, find the best-predicted crash fatality rate for a year in which there are 425 metric tons of lemon imports. Is the prediction worthwhile?
Lemon Imports Crash Fatality Rate
232 16
268 15.7
361 15.4
472 15.5
535 15
Answers
The regression analysis evaluates the amount of relationship that exists
between the variables in the analysis.
The regression equation is; [tex]\underline{\overline y = -0.00255 \cdot \overline x + 16.47268}[/tex]The prediction is worthwhile because it gives an idea of the observed Crash Fatality Rate and it is therefore approximately correct.Reasons:
First part;
The given data is presented as follows;
[tex]\begin{tabular}{|cc|c|}Lemon Imports (x) &&Crash Fatality Rate\\232&&16\\268&&15.7\\361&&15.4\\472&&15.5\\535&&15\end{array}\right][/tex]
The least squares regression equation is; [tex]\overline y = b \cdot \overline x + c[/tex]
Where;
[tex]b = \mathbf{\dfrac{\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right) }{\sum \left(x_i - \bar x\right )^2 }}[/tex]
[tex]\overline y[/tex] = The mean crash fatality = 15.52
[tex]\overline x[/tex] = The mean lemon import = 373.6
Therefore;
[tex]b = \dfrac{-171.36 }{67093.2 } = -0.00255[/tex]
c = [tex]\overline y[/tex] - b·[tex]\overline x[/tex] = 15.52 - (-0.00255)×373.6 = 16.47268
Therefore;
The regression equation is [tex]\underline{\overline y = -0.00255 \cdot \overline x + 16.47268}[/tex]Second part;
When the imports is 425 metric tons of lemon, we have;
[tex]\overline y[/tex] = -0.00255 × 425 + 16.47268 = 15.38893 ≈ 15.4
Therefore;
When the import is 425 metric tons, the Crash Fatality Rate ≈ 15.4
Given that the predicted value is between the values for 268 and 535, we
have that the prediction is approximately correct or worthwhile
The prediction is worthwhile
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Can someone help me out?
Answers
Answer:
d
Step-by-step explanation:
What is the measure of <1?
What is the measure of <2?
Answers
Answer:
1) 98°
2) 65°
Step-by-step explanation:
Sum of the angles in any triangle = 180°
in first triangle the third inner angle = 180 - (18 + 80) = 82 then measure of (1) = 180 - 82 = 98°
The missing interior angle of the second triangle = 180 - 124 = 56° then measure of (2) = 180 - (59+56) = 65°
find the values of x and y ????
show step plz
Answers
Answer:
x= 90 degrees
y= 47 degrees
Step-by-step explanation:
Since the two sides of this triangle are equal in lengths, you know that it is an isosceles triangle.
So with this information, you know that the angle at the bottom left is also 47 degrees.
x would be equal to 90 degrees because it is perpendicular to the bottom of the triangle (assuming).
A triangle has 180 degrees, so add up the lengths we have to solve for the missing angle, y.
90+47+y=180
y= 43
[tex]{\huge{\boxed{\mathfrak{Answer\:With\:Explanation}}}[/tex]
First we can say [tex]x=90[/tex]°, since x is located at the right angle part.
Now we can make an equation
[tex]90+47+y=180[/tex]
subtract 137 from sides.
[tex]y=43[/tex]
_________________________________
[tex]{\huge{\boxed{\mathfrak{Answer}}}[/tex]
[tex]x=90[/tex]° [tex]y=43[/tex]°_________________________________
Troy assembles wooden toya at Tindall's Toy Shoppe. He is paid $1.46 for each snake, $1.11 ab each fan, and $1.74 for each teddy bear. Troy assembled 515 snakes, 982
fans and 669 teddy bears. What Is Troy's gross pay for this week? Round to the nearest cent.
Answers
Answer:
$3005.98
Step-by-step explanation:
did the math with calculator
Factors that are greater than 1/2 but less than one
Answers
6/8
Step-by-step explanation:
1/2 = 0.5
6/8 = 0.75
therefore, 0.75 > 0.5
Pleaseee help asapppp
Answers
David got $130 for his birthday. He spent 20% of that on a pair of shorts. He wants to save ¼ of what he has left. How much does he want to save
Answers
Answer:
26
Step-by-step explanation:
130-20%=104
25% of 104 is=26
Please help me y’all.
Answers
Step-by-step explanation:
6 > 4x - 5
Bringing like terms on one side
6 + 5 > 4x
11 > 4x
11/4 > x
Option none is the correct answer
Write the equation of the line that passes through the points (-7,7) and (-6,-5)
Answers
Answer:
y= -12x - 77
Step-by-step explanation:
HOPE THIS HELPS
Initial value of 100 increasing at a rate of 5%
Answers
Step-by-step explanation:
105 is now total final value
Answer:
105..................
Juan used 2/3 of his can of paint to paint his garage and 1/6 of his can
of paint to touch up things around the house. If he used 58 ounces of paint, how
much paint was in the can to start with? Round to nearest whole number. PLS HELP WILL DO ANYTHING
Answers
Answer:
the can contained a total of 69.6 oz
Step-by-step explanation:
First, we find the total amount he used.
2/3 + 1/6 = 4/6 + 1/6 = 5/6
He used 5/6 of the can.
He used 58 oz.
That means that 5/6 of the can equals 58 oz.
We don't know the size of the can, so let x = original number of ounces in can.
5/6 of can = 58
5/6x = 58
Multiply both sides of the equation by 6/5 to find x.
6/5 × 5/6x = 6/5 × 58
x = 69.6
Answer: the can contained a total of 69.6 oz
Please help look at the picture below
Answers
Answer:
I’m sorry I don’t know
Step-by-step explanation:
☹️☹️☹️☹️☹️
Convert 34/8 to a decimal using long division
Answers
Answer: Using a calculator, if you typed in 34 divided by 8, you'd get 4.25. You could also express 34/8 as a mixed fraction: 4 2/8.
Step-by-step explanation:
Answer:
answer
Step-by-step explanation:
is using a cancalator duh
please help me and NOOO LINKS
Answers
Answer:
whats the shape
Step-by-step explanation:
over the course of 12 hours the temperature changes a total of -16 Celsius what is the average change in the temperature in 1 hour
Answers
Answer:
-1.33 degrees Celsius
Step-by-step explanation:
Divide -16 by 12.
Jack deposited a check into his account for $227.11. Then, he withdrew $227.11 in cash in the same transaction. What is the net amount of Jack's transaction? A. $454.22 B. $227.11 C. $0 D. -$227.11
Answers
Answer:
None because he took out all of the money he had
Step-by-step explanation:
(I made the same mistake once......)
The net amount of Jack's transaction is: $0.
So, the correct answer is C. $0.
The net amount of Jack's transaction can be calculated by subtracting the amount he withdrew from the amount he deposited.
Given:
Deposit amount = $227.11
Withdrawal amount = $227.11
Net amount = Deposit amount - Withdrawal amount
Net amount = $227.11 - $227.11
Net amount = $0
Hence, the net amount of Jack's transaction is: $0.
So, the correct answer is C. $0.
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what is the answer of 3125 ÷ 25 and show how you got the answer
Answers
Answer:
125
Step-by-step explanation:
because 3125 divided 25 equals 125.
how do you want me to show you how i divided?
Answer:
125 is the answer, you can check this by simply multiplying 125 by 25, which will give you 3125.
Step-by-step explanation:
Drag the tiles to the correct boxes to complete the pairs.
Match the examples of the impact of the innovation of technology to their relevant sectors.
manufacturing
communication
financial products
transportation
Electronic data transmission allows companies
to re-order inventory immediately without
human interaction
Delivery by drones allow companies to ship products
without paying labor costs.
New equipment allows a producer of windows
to increase production by 25 percent.
Financial futures allow farmers to lock in prices
of their crops.
Answers
Answer:
i dont get how this is a math question
and can you post a screenshot so i can understand it better
Step-by-step explanation:
Answer:
Step-by-step explanation:
What is 40% of 40 Million?A. 28,000,000B. 5,000,000C. 16,000,000D. 38,000,000
Answers
Answer: It is C 16,000,000
Step-by-step explanation: I am 100% sure.