Answer:
100 + 35x = 240
240 - 100 = 140 = 35x
140/35 = 4
Step-by-step explanation:
4 hours, not a bad pay o.o
Answer:
4 Hours
Step-by-step explanation:
Let y=money
Let x= Hours
y=mx+b
240=35x+100
minus 100
140=35x
divide 35
4=x
96 multiplyed by 12 multyplied by 6
Answer: 6912
Step-by-step explanation:
96x12=1,152
1,152x6=6912
Given the function f(x) = -x² - x + 7, find each of the following.
f(1), f(-7), f(y + 2)
f(1) = 7
f(-7)= -35
f(y + 2) =
(Simplify your answers. Type an integer or a fraction.)
...
The value of f (1) is 5.
The value of f (-7) is - 35.
The value of f (y + 2) is (-y²- 5y + 1).
What is Function?
A relation between a set of inputs having one output each is called Function.
The function is given as;
⇒ f(x) = -x² - x + 7
Now, To find value of f (1), substitute the value of x = 1 in given function and then calculate as;
⇒ f(x) = -x² - x + 7
⇒ f (1) = - (1)² - 1 + 7
⇒ f (1) = - 1 - 1 + 7
⇒ f (1) = 5
Hence, The value of f (1) is 5.
To find value of f (-7), substitute the value of x = -7 in given function and then calculate as;
⇒ f(x) = -x² - x + 7
⇒ f(-7) = -(-7)² - (-7) + 7
⇒ f(-7) = -49 + 7 + 7
⇒ f(-7) = - 35
Hence, The value of f (-7) is - 35.
To find value of f (y + 2), substitute the value of x = y+2 in given function and then calculate as;
⇒ f(x) = -x² - x + 7
⇒ f(y + 2) = -(y + 2)² - (y + 2) + 7
⇒ f(y + 2) = - (y² + 4y + 4) - y - 2 + 7
⇒ f(y + 2) = - y² - 4y - 4 - y - 2 + 7
⇒ f(y + 2) = - y² - 5y + 1
Hence, The value of f (y + 2) is (-y²- 5y + 1).
So, The value of f (1) is 5.
The value of f (-7) is - 35.
The value of f (y + 2) is (-y²- 5y + 1).
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Write the function rule g(x) after the given transformations of the graph of f(x) = 9x.
reflection in the x-axis; vertical compression by a factor of 1/3
g(x) = []
On reflecting f(x) = 9x in the x-axis and vertical compression by a factor of 1/3 we get the transformation g(x) where, g(x) = -3x
What is transformation of a function?Transformation of the function means that the curve representing the graph either moves to the left or right or up or down or expansion , compression or reflection of graph happens.
Rules for reflection over x axis : for an curve y = f(x) , replace y by -y and keep x as it is, we get -y = f(x) or y = - f(x)
Rules for vertical compression by a factor α : y becomes αy .If f(x) is compressed by a factor of 1/2 the the transformations becomes 1/2(f(x))
Given function is f(x) = 9x
When we reflect f(x) over x axis then the transformations becomes some h(x) where h(x) = -f(x) =-9x
Now we want to vertically compress it by a factor of 1/3 , then this transformation will become g(x) = 1/3(h(x)) = 1/3(-9x) =(-9/3)x =-3x
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Solve each equation. Check your answers.
ln (t-1)²=3
t = 5.48 in ln (t - 1)² = 3, by properties of logarithm.
What is Logarithm?The opposite of exponentiation is the logarithm.This indicates that the exponent to which a fixed number, base b, must be raised in order to obtain a specific number x, is represented by the logarithm of that number.A number's natural logarithm is its logarithm to the base of the transcendental and irrational number e, which is roughly equivalent to 2.718281828459.Now,
In ln ( t -1 )² = 3, by property of logarithm ( [tex]log_b(a)^m=m(log_b(a))[/tex]),
=> 2 ( ln (t -1) ) = 3
=> ln (t - 1) = [tex]\frac{3}{2}[/tex]
=> t - 1 = [tex]e^\frac{3}{2}[/tex]
=> t = [tex]e^\frac{3}{2}[/tex] + 1 = 4.48 + 1 = 5.48
Hence, t = 5.48 in ln (t - 1)² = 3, by properties of logarithm.
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Which expression is equivalent to quantity y raised to the negative second power times z raised to the third power end quantity over quantity z raised to the negative fourth power times y raised to the fifth power end quantity all raised to the negative second power?
The simplification of the given expression using laws of Indices is :
[tex]\frac{y^{14}}{z^{14}}[/tex]
How to use Laws of Indices?
We want to simplify the expression y raised to the negative second power times z raised to the third power end quantity over quantity z raised to the negative fourth power times y raised to the fifth power end quantity all raised to the negative second power.
The above can be expressed as :
[(y⁻² * z³)/(z⁻⁴ * y⁵)]^(-2)
Collecting like terms and When two terms that are divided have the same base and different exponents, we keep the base and subtract the exponents, hence :
= [(y⁻² * z³)/(z⁻⁴ * y⁵)]²
= [(z⁻⁴ * y⁵)/(y⁻² * z³)]²
= [(z⁻⁴/z³) x (y⁵/y⁻²)]²
= [z^{-4-3} x y^{5+2}]²
= [z^{-7} x y^{7}]²
Then both numerator and denominator exponents multiply by 2, hence the equivalent expression is :
= [tex][\frac{y^{7}}{z^{7}}]^{2} = \frac{y^{14}}{z^{14}}[/tex]
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Brainliest and 40 points! Hurry!
Answer: 6
Step-by-step explanation:
Amir has 3 jars of sweets
Jar a contains 205 sweets
Jar c contains 175 sweets
Jar a has the most sweets and Jar c has the least of sweets how many sweets could be in jar b explain how you know this
The sweets in jar B in the box with Amir will be 190 sweats.
How to calculate the number?From the information, Jar A contains 205 sweets. Jar c contains 175 sweet. Also, jar a has the most sweets and Jar c has the least of sweets.
The deets in jar B will be:
= (205 + 175) / 2
= 380 / 2
= 190
Therefore, the sweets in jar B in the box with Amir will be 190 sweats.
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my dog spent 4 days in the veterinary hospital.I spent 1585 dollars for the surgery,16.25. a day for board, and 49.75 for medicine.what is my total bill
Answer:
1651
Step-by-step explanation:
Add up the numbers, and you get your answer. [tex]1585+16.25+49.75=1651[/tex]
Simplify and write each expression
Fully. Show
(a) (3x²y-¹)(2³x³y).
The simplified form of the expression (3[tex]x^{2}[/tex][tex]y^{-1}[/tex])([tex]2^3 x^{3}[/tex] y) is (24)([tex]x^{5}[/tex]).
What is an algebraic expression?An algebraic expression (or variable expression) is a term that has been combined with operations like addition, subtraction, multiplication, and division.
To simplify an algebraic expression, we simply combine like terms. As a result, variables that are similar will be combined. The same abilities will now be combined from the similar variables.
The given expression is (3[tex]x^{2}[/tex][tex]y^{-1}[/tex])([tex]2^3 x^{3}[/tex] y).
As we know [tex]x^{a}[/tex] + [tex]x^{b}[/tex] = [tex]x^{a+b}[/tex]
So, (3[tex]x^{2}[/tex][tex]y^{-1}[/tex])([tex]2^3 x^{3}[/tex] y) = (3×[tex]2^{3}[/tex])([tex]x^{2}[/tex]×[tex]x^{3}[/tex])([tex]y^{-1}[/tex]×y)
(3[tex]x^{2}[/tex][tex]y^{-1}[/tex])([tex]2^3 x^{3}[/tex] y) = (24)([tex]x^{5}[/tex])([tex]y^{0}[/tex])
(3[tex]x^{2}[/tex][tex]y^{-1}[/tex])([tex]2^3 x^{3}[/tex] y) = (24)([tex]x^{5}[/tex])
As a result, the abbreviated form of the expression (3[tex]x^{2}[/tex][tex]y^{-1}[/tex])([tex]2^3 x^{3}[/tex] y) is (24)([tex]x^{5}[/tex]).
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One endpoint of a segment is located at (14,21) find the coordinates of the other ep if the midpoints coordinates are (41,50)
[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{14}~,~\stackrel{y_1}{21})\qquad (\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ x +14}{2}~~~ ,~~~ \cfrac{ y +21}{2} \right) ~~ = ~~\stackrel{midpoint}{(41~~,~~50)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ x +14}{2}=41\implies x+14=82\implies \boxed{x=68} \\\\\\ \cfrac{ y +21}{2}=50\implies y+21=100\implies \boxed{y=79}[/tex]
A system of equations is shown.
{9x - y = 4
9x - y = -4
Which statement about the system of equations is true?
Answer:
No solution.
Step-by-step explanation:
There is not an number that I can put in for x and y and get the answer 4 and -4.
Answer:
No solutions
Step-by-step explanation:
Given system of equations:
[tex]9x - y = 4 \\ 9x - y = -4[/tex]
Let us substitute the equation 9x - y = 4 into the second equation:
[tex]\implies 9x - y = -4[/tex]
[tex]\implies 4 = -4 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [9x - y} = 4} ][/tex]
But 4 = -4 is not possible, as they are opposite integers. Since 4 ≠ -4, there are no solutions for the given system of equations.
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An elephant charged 13.3 meters in 15 seconds. At this rate, how far would the elephant move if it could charge for one minute? (15 seconds = 1\3 minute)
The elephant can move 53.2 meters if it is charged for 1 minute.
Given,
The time that the elephant charged = 15 seconds
The distance that the elephant can travel by this charge = 13.3 meters
We have to find the distance moved by the elephant if it is charged for 1 minute:
That is,
15 seconds = 13.3 meters
Then,
1 minute (60 seconds) = x
Therefore;
15 × x = 13.3 × 60
x = (13.3 x 60) / 15
x = 798 / 15
x = 53.2
That is, the elephant can move 53.2 meters if it is charged for 1 minute.
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Using the scale:
1/4 in = 2 ft, what would be the real-life measurement of an object that measures 4 inches on a scale drawing?
An object that appears to be 4 inches on a scale illustration actually measures 32 feet.
What is drawing to scale?A representation of a real thing with correct sizes that has been scaled back or blown up slightly (called the scale).
The scale is represented by the length in the drawing, a colon (":"), and then the actual length that corresponds to it.
A measurement of 150 mm on the picture would be 1500 mm on the actual horse since this drawing has a scale of "1:10," meaning that everything represented with a size of "1" would have an the actual world, a size of "1" corresponds to a size of "10."
based on the facts provided;
4 in =1/4 in 2ft
= 16*2 ft
= 32 ft
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What is another way to name line \ellℓell?
Since no line segment or reference diagram is provided in the question statement, considering ourselves a line as shown in the picture attached hereby, another name of the line "l" is UM.
As per the question statement, we are required to determine another name of the line, but no no line segment or reference diagram is provided, on whose basis, we were supposed to answer. Hence, we consider a line ourselves, as shown in the picture attached hereby, and then try to answer as per the question statement,
From the picture attached hereby, we can clearly see that, although the line "l" is a ray, it has two points "U" and "M" at the extremes, i.e., points U and M lie on the line. Hence, line "l" can be referred to as "UM" also.
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Over the summer, Gabriela read 10 times as
many pages as Salima. Altogether, they read
12,078 pages. How many pages did each girl
read?
Answer:
i’m pretty sure it’s 6,039
Step-by-step explanation:
12,078 divided by 2
Simplify each expression.
27¹/₃
The questions tests on indices. Write 27 in form of its prime factors. Apply the power rule (a^m)^(1/n)=a^(m/n). In prime factor form 27 = 3×3×3
27 = 3^3
(27^3)^(1/3) = 3^(3×1/3) = 3
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Use the Change of Base Formula to rewrite each expression using common logarithms.
log₄9
The logarithmic expression changed by the base formula is ㏒₁₀9/㏒₁₀4.
What s defines as the logarithmic functions?A number's logarithm is the exponent that a fixed value known as the base should be raised in order to generate that number. For example, because 1000 is 10 to a third power, the log of 1000 to base 10 is 3.
The y-intercept does not exist.A vertical asymptote is x = 0. *Note: An asymptote is a line which a graph approaches as the absolute value of x or y increases.There is no horizontal asymptote for a logarithmic function.The x-intercept is equal to one.The function is expanding across the domain.The function decreases out over domain if the base between 0 and 1.Some rule of the logarithmic functions are-
Quotient Rule: ㏒(A/B) = ㏒A - ㏒BProduct Rule : ㏒A + ㏒B = ㏒(AB)Power Rule: n㏒A = ㏒AⁿBase Rule = ㏒ₐb = ㏒ₓb/㏒ₓaExponent Rule = e∧lnx = xNow, as per the sated condition of the log function;
= log₄9
Now, use the Base Rule to re-write the expression;
= ㏒ₓ9/㏒ₓ4
or, for the base 10 this could be written as;
= ㏒₁₀9/㏒₁₀4
Therefore, the given logarithmic expression converted by the base formula is ㏒₁₀9/㏒₁₀4.
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Solve for u.
−7+4u = − 35
for the equation - 7 + 4 u = - 35, we get the value of u after solving it as - 7.
We are given the equation:
- 7 + 4 u = - 35
We need to solve the equation for u.
- 7 + 4 u = - 35
Add 7 to both the sides, we get that:
- 7 + 4 u + 7 = - 35 + 7
4 u = - 28
Divide both the sides by 4, we get that:
4 u / 4 = - 28 / 4
u = - 7
Therefore, for the equation - 7 + 4 u = - 35, we get the value of u after solving it as - 7.
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James and his friend both started a part -time job at the swimming hole earning $6 per hour.James worked 10 1/2 hours his first week .James agreed to pay his friend 1/10 of his salary for gas. How much did James pay his friend for gas ?
Answer: 6.30
Step-by-step explanation:
For each function, find the inverse and the domain and range of the function and its inverse. Determine whether the inverse is a function. f(x)=1/√-2 x
Answer to this question is:
Domain of given function is (-∞,0),{x|x<0}
Range of given function is (0,∞),{y|y>0}
Inverse of given function is -1/2x²
The domain is all values of x that make the expression defined.The entire range of independent variable values is the domain of a function.
This definition can be stated simply as follows: The domain is the collection of all x-values that can be used to make the function "work" and produce actual y-values.
When choosing the domain, keep in mind that a fraction's denominator (bottom) cannot be 0.
Interval Notation:(-∞,0)
Set-Builder Notation:{x|x<0}
The set of all valid y values constitutes the range.
Interval Notation:(0,∞)
Set-Builder Notation:{y|y>0}
For calculation of inverse:
Interchange the variables x=1/√-2ySolve for yy=-1/2x²Replace y with f^-1(x)f^-1(x)=-1/2x²∴Domain of given function is (-∞,0),{x|x<0}
Range of given function is (0,∞),{y|y>0}
Inverse of given function is -1/2x²
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emir is standing in a treehouse and looking down at a swingset in the yard next door. the angle of depression from emir's eyeline to the swingset is 30.26°, and emir is 14 feet from the ground. how many feet is the base of the tree from the swingset? round your answer to the nearest foot.
The distance between base of tree and swing set is 24 feet.
We are given the angle of depression and the vertical height. Joining the three points, which are top and base of tree and swing set forms a right angled triangle. The height of tree will be perpendicular of triangle and base will be the distance between base of tree and swing set.
The angle at the swing set will be equal to 30.26°, as alternate angles are equal.
So, the angle formed can be related with perpendicular and base by -
tan theta = perpendicular ÷ base
Keep the values in formula to find the value of base
Base = perpendicular ÷ tan theta
Base = 14 ÷ tan 30.26°
Base = 14 ÷ 0.5834
Performing division
Base = 24
Hence, the distance between base of tree and swing set is 24 feet.
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help- have to finish today
4 9/10
explanation:
1: Simplify both sides of the equation.
x+−2/5=9/2
2: Add 2/5 to both sides.
x+−2/5+2/5=9/2+2/5
x=4 9/10
Suppose J is between H and K. Use the segment Addition Postulate to solve for x. Then find the length of the segment.
HJ=4x+9, Jk=3x+3, HK=33
The length of the segment when J is between H and K will be HJ = 21 and JK = 12.
How to illustrate the information?From the information given, J is between H and K and we want to use the segment addition Postulate to solve for x.
It should be noted that:
HJ=4x+9,
Jk=3x+3,
HK=33
Therefore, we will equate the values. This will be:
4x + 9 + 3x + 3 = 33
7x + 12 = 33
Collect like terms
7x = 33 - 12
7x = 21
Divide
x = 21 / 7
x = 3
HJ=4x+9, = 4(3) + 9 = 21
Jk=3x+3 = 3(3) + 3 = 12
Therefore, the length of the segment when J is between H and K will be HJ = 21 and JK = 12.
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Use natural logarithms to solve each equation.
e²x=12
In [tex]e^{2x}=12[/tex], x = 1.24, by the properties of logarithm.
What is Logarithm?The opposite of exponentiation is the logarithm.This indicates that the exponent to which a fixed number, base b, must be raised in order to obtain a specific number x, is represented by the logarithm of that number.A number's natural logarithm is its logarithm to the base of the transcendental and irrational number e, which is roughly equivalent to 2.718281828459.Now,
In [tex]e^{2x}=12[/tex], taking natural logarithm on both side.
=> [tex]log_e(e^{2x})=log_e(12)[/tex]
=> 2x = 2.48 (approx)
=> x = 1.24
Hence, In [tex]e^{2x}=12[/tex], x = 1.24, by the properties of logarithm.
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Can ya'll help me with this please?
Answer: C.
Step-by-step explanation:
thats it, ima be also posting more if i dont get the question
The equation of this straight line is y = 50x + 100.
What is a linear function?A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.
How to determine the equation?In order to determine the equation from this graph of a linear equation, we would find the slope of the straight line by using this formula as follows:
[tex]Slope,\;m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope,\;m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]
Slope, m = 100/2
Slope, m = 50.
Mathematically, the standard form of the equation of a straight line is given by;
y = mx + c
Where:
x and y are the points.m is the slope.c is the intercept.At point (4, 300), we have:
y = mx + c
300 = 50(4) + c
300 = 200 + c
c = 300 - 200
c = 100.
Therefore, the equation of this straight line is y = 50x + 100.
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2. Write and simplify an expression showing how many times farther Neptune is from the Sun
than Mercury. Write the result in scientific notation. (2 points)
The sun is [(1.974) * (10^1)] times farther from Neptune, than Mercury, mentioned in scientific notation.
As per the question statement, there is no information provided about the actual distance of the sun from Neptune, or from Mercury. Hence, let us consider that the actual distance of the sun from Neptune is [4.5 * (10^9)] kilometers, while that from Mercury is [2.28 * (10^8)] kilometers.
We are required to calculate the number of times, which the sun is times farther from Neptune, than Mercury, and express our desired answer in proper scientific notation.
Considering that, the sun is "x" times farther from Neptune, than Mercury, we can state that,
[{2.28 * (10^8)} * x] = {4.5 * (10^9)}
or, x = [{4.5 * (10^9)}/{2.28 * (10^8)}]
or, x = [{4.5 * 10 * (10^8)}/{2.28 * (10^8)}]
or, x = [{45 * (10^8)}/{2.28 * (10^8)}]
or, x = (45/2.28)
or, x = 19.7368
or, x = 19.74
or, x = [(1.974) * (10^1)]
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Please help! What is the range of the function shown in the graph below?
Step-by-step explanation:
the range of a function is the interval or set of all valid y (function result) values.
so, what values is this function creating ?
we see that y never gets larger than -4.
but it will clearly go and go and go ... further down without any limit.
so, the range is
-infinity < y <= -4
Multiply if possible. Then simplify. √2 . √8
The simplest form of the expression is 4 .
Expressions in science are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by academic degree operator in between.Simplifying expressions mean rewriting an analogous math expression with no like terms and through a compact manner.To change expressions, we have a tendency to tend to combine all type terms and solve all the given brackets, if any, then inside the simplified expression, we have a tendency to are aiming to be exclusively left with not like terms that cannot be reduced any.We have given an expression √2 . √8 .
On multiplying , we get
√2 . √8 = √16
On simplifying , we get
√16 = √ 4 × 4
= 4
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Find value of x.
3x + 6 - 6 = 248
Answer:
The value of x is 82.67Step-by-step explanation:
Q. 3x + 6 - 6 = 248= 3 x = 248= x = 248 / 3 = 82.67∴ The value of x is 82.67
Answer:
x=82.7
Step-by-step explanation:
3x+6-6=248
3x=248
x=82.7