Answer:
Step-by-step explanation:cevap çok basit cevap eşittir cevap yani çok basit
Answer:
3^x=x^(x/3)
3^(3*x)=x^(3*x/3)
3^(3x)=x^x
(3^3)^x=x^x
27^x=x^x
27^(x*1/x)=x^(x*1/x)
27^(x/x)=x^(x/x)
27^1=x^1
x=27
Step-by-step explanation:
Find the domain and the range of each function.
y=2 log (x-2)
The domain of the function is (2,∞),{x|x>2}
and the range of function is (−∞,∞),{y|y∈R}
The domain is all values of xx that make the expression defined.
Set the argument in log(x−2)greater than 0 to find where the expression is defined.x−2>0
Add 2 to both sides of the inequality.x>2
Interval Notation:(2,∞)
Set-Builder Notation:{x|x>2}{x|x>2}
The range is the set of all valid y values.
We can find out the range by using the graph.
Interval Notation:(−∞,∞)
Set-Builder Notation:{y|y∈R}
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Solve each equation.
25 ²x⁺¹=144
After solving the given equation 25²x=144, the value of x = 144/625.
What exactly is an equation?An equation is a mathematical statement composed of two expressions joined by an equal sign.An example of an equation is 3x - 5 = 16.After solving this equation, we get x = 7.So,
Given the equation: 25²x=144Then,
25²x=144625x=144x = 144/625Therefore, after solving the given equation 25²x=144, the value of x = 144/625.
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Which equation shows a constant of proportionality
The equation that shows proportionality is in the form y = kx; Where k is the constant of proportionality.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Two variables are said to be proportional if an increase or decrease in one variable leads to a corresponding increase or decrease in the other variable.
The equation that shows proportionality is in the form:
y = kx
Where k is the constant of proportionality.
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PLS HELP ME WITH THESE QUESTIONS PLSSSSSSSSSSSSSSSSSSSSSSSSSSSS
The factors are (x + 4), (x + 5) & (x - 4) and the solution is x = -4, = -5 and x = 4 and the value of the maximum profit is 680
How to factor and list all the solutions of the equation?The given parameters are
f(x) = x^3 + 5x^2 - 16x - 80
x = -4 is a root
To set up the synthetic division, we start by writing out the coefficient of each term
So, we have
-4 | 1 5 -16 -80
Bring down the first coefficient
-4 | 1 5 -16 -80
1
Multiply by -4
So, we have
-4 | 1 5 -16 -80
(-4)
1
Add
-4 | 1 5 -16 -80
(-4)
1 1
Multiply by -4
So, we have
-4 | 1 5 -16 -80
(-4) (-4)
1 1
Add
So, we have
-4 | 1 5 -16 -80
(-4) (-4)
1 1 -20
Multiply by -4
-4 | 1 5 -16 -80
(-4) (-4) 80
1 1 -20
Add
So, we have
Multiply by -4
-4 | 1 5 -16 -80
(-4) (-4) 80
1 1 -20 0
This means that,
Quotient = x^2 + x - 20
Remainder = 0
Expand x^2 + x - 20
x^2 + x - 20 =x^2 + 5x - 4x - 20
Factorize
x^2 + x - 20 = (x + 5)(x - 4)
Recall that the initial root is
x = -4
Rewrite as
x + 4 = 0
So, we have the complete factor to be
f(x) = (x + 4)(x + 5)(x - 4)
Set to 0
(x + 4)(x + 5)(x - 4) = 0
Solve for x
x = -4, = -5 and x = 4
Hence, the factors are (x + 4), (x + 5) & (x - 4) and the solution is x = -4, = -5 and x = 4
How to determine the value of the maximum profit?The equation of the profit function is given as
P(x) = 230 + 30x - 0.5x^2
Differentiate the function
So, we have
P'(x) = 0 + 30 - x
Evaluate the like terms in the function
So, we have
P'(x) = 30 - x
Set the function to 0
So, we have
30 - x = 0
Evaluate
x = 30
Substitute x = 30 in the equation P(x) = 230 + 30x - 0.5x^2
So, we have
P(30) = 230 + 30 x 30 - 0.5 x 30^2
Evaluate
P(30) = 680
Rewrite as
Pmax = 680
Hence, the value of the maximum profit is 680
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How many meters is 5 kilometers if one kilometer is 1000 meters
Answer:
5000
Step-by-step explanation:
5x1000=5000
Please help I don’t understand.
Answer:
12
Step-by-step explanation:
In this problem, we need to arrange 150 chairs in rows for a school play. You want each row to have the same number of chairs.
We can find the prime factorization of 150 as follows :
150 = 2, 3, 5, 5
150 is not a perfect square. 144 is a perfect square and 12² = 144. So, there are 12 possible arrangements.
5. Alesha's savings account balance was $55 at the end of
March, $63 at the end of April, $71 at the end of May,
and $79 at the end of June. Predict the amount Alesha
will have in her account at the end of July.
I
Simplify 4¹/₂ . 4¹/₂ using the following methods. Show all your work.
a. Use the properties of exponents.
The result of simplifying the number 4¹/₂ . 4¹/₂ using the properties of exponents is 4
To solve this exercise we have to resolve algebraic operations following the exponent properties.
4¹/₂ . 4¹/₂
Base= 4
Using the product rule that indicates that: the exponent result will be the addition of these exponents, we have:
(4) ⁽¹/₂ ⁺ ¹/₂⁾
(4) ⁽¹⁺¹⁾/₂
(4) ⁽²/₂⁾
(4)⁽¹⁾
4
What is an exponent?In mathematics an exponent is the number of time that a number, called (base) is multiplied by itself. It is also called, power or index.
Example: 3² = 3*3 = 9
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Evaluate
-2 (-4) (-1)
Answer:
-8
Step-by-step explanation:
[tex]-2\left(-4\right)\left(-1\right)\\\left(-4\right)\left(-1\right)\\\left(-a\right) \times \left(-b\right)=(+c)\\= 4\\=-2 \times 4\\(-a) \times (+b) = -c\\=-8[/tex]
The equation is,
→ -2 (-4) (-1)
Let's solve the problem,
→ -2 (-4) (-1)
→ (-2 × -4) × (-1)
→ 8 × -1 = -8
Thus, the answer is -8.
Find a quartic function with the given x -values as its only real zeros. x=4 and x=2 .
[tex]f(x) = \alpha (x - 4) {}^{2} (x - 2) {}^{2} \\ f(x) = \alpha (x {}^{2} - 8x +16 )(x - 4x - 4) \\ f(x) = \alpha (x {}^{4} - 12x {}^{3} + 52x {}^{2} - 96 x + 64) \\ where \: \alpha ∈ \: \real[/tex]
Amy goes out to eat at El Parral. She orders a Burritos Deluxe dinner for $8.75, fried ice cream for $4, and a Coke for $2. If the sales tax is 6% and she leaves a 15% tip, what is the total amount that Amy will spend?
The total amount that Amy will spend is $17.98
Amy goes out to eat at El Parral. She orders a Burritos Deluxe dinner for $8.75, fried ice cream for $4, and a Coke for $2.
Amy's gross total is $8.75 + $4 + $ 2 = $14.75
Now, sales tax of 6 percent
Her net bill is $14.75 + 6% of $14.75
$ 14.75 + 0.885
= $15.635
Here, Amy also gives a tip of 15 percent
Her total spending becomes
$15.635 + 15% of $ 15.635
$15.635+ 2.345
$17.980
or $ 17.98
Hence, the total amount that Amy will spend is $17.98
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For each of the equations, give the gradient of a line that is
Parallel to the graph
perpendicular to the graph
f(x)=2x-1
Answer:
2 and - [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the gradient and c the y- intercept )
f(x) = 2x - 1 ← is in slope- intercept form
with gradient m = 2
• Parallel lines have equal gradients , then
the gradient of a parallel line is also 2
given a line with gradient m then the gradient of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{2}[/tex]
Whit's family car holds 15 gallons of fuel. Each day the car uses 0.7 gallons of fuel. A warning
light comes on when the remaining fuel is 1.5 gallons or less.
Question # 8a: Starting from a full tank, can Whit's family drive the car for 15 days without the
warning light coming on? Explain or show your reasoning.
−(−8q−8.7) im confused on how to do this
The simple way to solve such an expression; −(−8q−8.7) as given in the task content is by the distributive property which yields; 8q + 8.7.
What is the simplified form of the expression as given in the task content?It follows from the task content that the expression which is to be simplified, or perhaps written in a different form is; −(−8q−8.7).
Therefore, it follows from the distributive property that we have;
-(-8q) -(-8.7)
Also, since the product of two negative signs yields a positive sign.
Hence, we have; 8q + 8.7 as the equivalent of the expression given.
Ultimately, the simple way to solve such an expression; −(−8q−8.7) as given in the task content is by the distributive property which yields; 8q + 8.7.
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Interest Suppose you deposit $ 2000 in a savings account that pays interest at an annual rate of 4 % . If no money is added or withdrawn from the account, answer the following questions.
c. How many years will it take for the account to contain $ 2500 ?
It will take 5.689 yrs . for the account to contain $2500 .
Simple Interest = ( P * R * T ) / 100
P ( principal amount ) = 2000
R ( rate of interest ) = 4
T ( no . of yrs . for which amount is deposited ) = unknown
According to question
Account Balance = $ 2500 = A( t ) = a [tex]( 1 + r ) ^{t}[/tex]
2500 = 2000 [tex]( 1 + 0.04 )^{t}[/tex]
1.25 = [tex]( 1 + 0.04 )^{t}[/tex]
t = [log ( 1.25 ) ] / [ log ( 1.04 ) ]
t = 5.689
Hence , it will take 5.689 yrs . for the account to contain $2500 .
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Using algebra, solve the inequality
writing your answer in set notation.
x²-x> 20
Answer:
(-4, 0) U (1, ∞)
Step-by-step explanation:
Set each factor EQUAL to zero to find the zeroes (since it is not actually equal to zero, you will use an open circle when graphing and an open bracket when writing in interval notation).
x = 0 x-1 = 0 x + 4 = 0
x = 1 x = -4
Next, choose a value to the far left, between each of the zeroes, and to the far right to evaluate if it makes a true statement when input into the given inequality.
far left (I choose -5): -5(-5 - 1)(-5 + 4) > 0 → (-)(-)(-) > 0 → negative > 0 FALSE
- 4 to 0 (I choose -2): -2(-2 - 1)(-2 + 4) > 0 → (-)(-)(+) > 0 → positive > 0 TRUE
0 to 1 (I choose 0.5): .5(.5 - 1)(.5 + 4) > 0 → (+)(-)(+) > 0 → negative > 0 FALSE
far right (I choose 2): 2(2 - 1)(2 + 4) > 0 → (+)(+)(+) > 0 → positive > 0 TRUE
Za and Zy are supplementary angles. Zy measures 97º.
Answer:
83°
Step-by-step explanation:
Supplementary angles are angles that add up to 180°.
Za + Zy = 180
Za + 97 = 180
Za + 97 - 97 = 180 - 97
Za = 83
Simplify each radical expression. Use absolute value symbols when needed. 3√0.008 y³ x⁶
The radical expression 3√0.008 y^3 x^6 can be simplified into 0.2 y x^2.
Radical expression is an expression containing a √ symbol. It shows the nth root of a number or variable. This number or variable inside a radical expression is the nth power of another number. Radical expression can also be expressed in exponent notation such that the nth root of x is equal to x raised to 1 over n.
n √x = x^1/n
Expressing 3√0.008 y^3 x^6 into exponent notation:
3√0.008 y^3 x^6 = (0.008 y^3 x^6)^1/3
Applying the distributive property of exponents,
(0.008 y^3 x^6)^1/3 = 0.008^1/3 (y^3)^1/3 (x^6)^1/3
Using the Power Rule for Exponents which states that to raise a number with an exponent to a power, multiply the exponent times the power:
(a^m)^n = a^(m*n).
0.008^1/3 (y^3)^1/3 (x^6)^1/3 = 0.008^1/3 y x^2
Simplifying the constant,
0.008^1/3 y x^2 = 0.2 y x^2
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9th Grade Math - Geometry
∠ABC is a straight angle. Find m∠XBC and m∠XBA.
Hint: Solve for x first, then find the angle measures.
14x+70+20x+8=180
34x+78=180
34x=102
x=3
XBC= 20(3) +8
60+8
68
XBA= 14(3)+70
42+70
112
Angle XBC= 68 degrees
Angle XBA= 112 degrees
A package of rings is 16 inches long 10 inches wide and 12 inches high the package contains 1 inch cubes that each hold one ring how many rings are there
Answer:
1920 rings
Step-by-step explanation:
Our equation: 16 x 10 x 12
16 x 10= 160
160 x 12= 1920
The 11 students in the Environmental Club represent 20% of the students in the
seventh grade. How many students are in the seventh grade?
Answer: 2.2
Step-by-step explanation: twenty percent of 11 is 2.2
Write a rational function with the given characteristics.
A vertical asymptote at x=8 and a horizontal asymptote at y=0
According to the question, to express the rational function for the vertical asymptote whose equation is [tex]x=8[/tex] and horizontal asymptote whose equation is at [tex]y=0.[/tex]
As per the question, the function 'f(x)' is vertical at [tex]x=8[/tex]. Therefore, the denominator be [tex](x-8)[/tex]
[tex]f(x)=\frac{g(x)}{(x-8)}[/tex]
The function 'g(x)' should have same degree as the denominator function has and it is defined as[tex]y=0[/tex]
The rational function can be written as:
Rational function = [tex]\frac{y}{(X-8)}[/tex]
What is rational function?
Rational function is a function whose numerator and denominator terms are in polynomials. Basically, it is a ratio of polynomials. The important condition for these type of function is that denominator should be of degree one.
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Pls help urgent!.................................................................
Answer:
.9
85%
5/6
4/5
Step-by-step explanation:
In percentages .9 is 90%
which is larger than 85%
5/6 as a percentage is 83.33r%
4/5 as a percentage is 80%
23-8x5 order of operation
Answer: -13
Step-by-step explanation: so order of operations is also PEMDAS.
and u go from left to right so using this you would multiply 8 x 5 and then you get 35. after this subtract 23-36 and u get -13.
e.
f.
a. Four thousandths
b. Twenty-four thousandths
C. One and three hundred twenty-four thousandths
d. Six hundred eight thousandths
g.
Six hundred and eight thousandths
46
1000
3
946
1000
904
1000
h. 200-
Express each of the following values in words.
0.004
10.024
11.324
1600.008
1608.000
Answer: 0.004 = 4.0 x [tex]10^{-3}[/tex]
10.024 = 10,024 x [tex]10^{-3}[/tex] 11.324 = 11,324 x [tex]10^{-3}[/tex]1600.008 = 1,600,008 x [tex]10^{-3}[/tex]1608.000 = 1,608,000 x [tex]10^{-3}[/tex]Step-by-step explanation:
Rules guiding exponential notation :
Writing numbers in exponential notations have some guiding rules. These include:
The base is always 10
The exponent cannot be zero and must be an integer. It can be positive or negative.
The coefficient can take any form - negative or positive, integer or decimal. All significant digits must be included after the decimal.
Following these rules :
0.004 = 4.0 x [tex]10^{-3}[/tex]10.024 = 10,024 x [tex]10^{-3}[/tex] 11.324 = 11,324 x [tex]10^{-3}[/tex]1600.008 = 1,600,008 x [tex]10^{-3}[/tex]1608.000 = 1,608,000 x [tex]10^{-3}[/tex]Learn more about event correlation here: brainly.com/question/28468881
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how do i graph b>4 please help asap
Answer:
Here's b > 4 on the number line. When greater than, the arrow always starts with an open circle. If less than, then it will start with a closed circle.
(120−14)+4 2 ×3 (the two on the four is an exponent)
Answer:
154
Step-by-step explanation:
Use the correct order of operations.
(120 - 14) + 4² × 3 =
First, do the parentheses and the exponent.
= 106 + 16 × 3
Now do the multiplication.
= 106 + 48
Finally, add.
= 154
What is the best approximation for the solution to this system of equations?
(–3.2, –3)
(–2.9, –3)
(–2.2, –3)
(–1.9, –3)
The correct answer is ( -2.2, -3).
We occasionally discover the value of an unknown variable while solving the system of equations. We can display the graph using the equation, but if the graph and the equation are parallel, we will not be able to solve the system of equations.
We have a condition that, if applied, allows us to determine how many solutions this equation has: if it has one solution, no solutions, or infinitely many solutions.
y = -3 _____(1)
y = x-0.8 _____(2)
to substitute the value of y in the equation in 2
-3 = x - 0.8
-3 + 0.8 =x
-2.2 = x
Thus the correct answer is ( -2.2, -3).
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Gi Gi has $10 to buy school supplies. She buys 6 folders that are $0.57 each Part 1: How much did she spend on the folders? Part 2: How much change will she receive? LORD PLS HELP ME IM SO SLEPPY FIS DUE TMR I CANT;((
Answer:
$3.42 spent on folders, She will receive $6.58 back in change
Step-by-step explanation:
$0.57 times 6 = $3.42 spent on the folders. $10-$3.42=$6.58 she will receive back.
Part 1: She spent $3.42 on the folders.
This is calculated by multiplying 6 folders by $0.57 for each folder
($0.57 x 6 = $3.42).
Part 2: She will receive $6.58 in change. This is calculated by subtracting the amount spent on the folders from the amount of money Gi Gi had to begin with ($10 - $3.42 = $6.58).
Point A= (3,-6), Scale Factor 1/3, Point A' =
(-2,1)
(1,-2)
(1,2)
(-1,-2)
Point A' after the dilation of the scale factor by 1/3 is (-1,2) is the correct option.
What is defined as the scale factor?The idea behind dilation, resizing, or "rearranging" is to make something larger or smaller, but when applied to a shape, you must "scale" each coordinate.Setting a "center of dilation" where all lengths are transformed so that their new distances from this center are proportional to one‘s old distances from in this center would be one solution.The given point is;
Point A = (3, -6), scale factor = 1/3
Fortunately, because the dilation is centered at the origin (0,0), we can multiply the scale factor by the x and y-coordinates to acquire the image point coordinates.
Point A' = (3×1/3, -6×1/3)
Point A' = (1, - 2)
As a result, if it grows larger, it should start moving away from the origin, while if it grows smaller (as it does here), this should move closer to a origin.
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