Algebraic expression for the total cost of renting the Quad for h hours is $80 + $10h. Cost of renting the Quad for three and a half hours is $115.
Short note on algebraic expressions?A mathematical sentence that incorporates coefficients, unknowable variables, algebraic operations, and constants is called an algebraic expression. The equals symbol, however, is not allowed in an expression. A mathematical phrase known as an algebraic expression combines variables and constants using the operational (+, -, & &) symbols. The equal (=) symbol is absent from algebraic symbols. Algebraic expressions include, for example, 10x + 63 and 5x - 3.
The rental fee for a Quad is $80 and it costs an additional $10.00 for each hour that you ride. So the total cost of renting the Quad for h hours can be represented by the algebraic expression:
$80 + $10h
where h is the number of hours you rent.
To find the cost of renting the Quad for three and a half hours, we can substitute h = 3.5 into the expression:
$80 + $10(3.5) = $80 + $35 = $115
So the total cost of renting the Quad for three and a half hours is $115.
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An element with a ma of 300 gram decay by 5. 4% per minute. To the nearet tenth of a minute, how long will it be until there i 110 element remaking
The element will be gone in approximately 10.9 minutes.
We can calculate this by using the formula:
Time = (log(Initial mass / Final mass)) / (log(1 - decay rate))
Time = (log(300 / 110)) / (log(1 - 0.054))
Time = 10.9 (rounded to the nearest tenth of a minute)
Therefore, The element will be gone in approximately 10.9 minutes.
A logarithmic function is a mathematical function that relates the logarithm of a number to its argument. The logarithm of a number (base 10) is represented by the log symbol (log 10) and the number being used as the argument. The inverse of this function is an exponential function, which relates the exponential of a number to its argument. Logarithmic functions are often used in mathematics and science to simplify and solve equations involving large exponents. They are also commonly used in finance, engineering, and other fields that involve large numbers.
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Time = (log(Initial mass / Final mass)) / (log(1 - decay rate))
Time = (log(300 / 110)) / (log(1 - 0.054))
Time = 10.9 (rounded to the nearest tenth of a minute)
What is the difference between largest 8 digit number and smallest 7 digit number?.
The difference between the largest 8-digit number and the smallest 7-digit number is 98999999.
The aim is to find the smallest 7-digit and largest 8-digit numbers, and then we need to determine the difference between these two values.
Let's start by finding the smallest 7-digit number.
We know that 0 is the smallest digit that can not be used in the highest place value, so we will consider the next smallest digit; that is, 1 therefore it can be used in the highest place value.
Thus, we can create the required 7-digit smallest number with 0 and 1.
Hence, the smallest 7-digit number is 1000000.
Now, we will discover the largest 8-digit number.
As we know, the largest digit is 9, which can be used anywhere. So, we will form the largest 8-digit number with the digit 9.
Thus, the largest 8-digit number is 99999999.
Now, find the difference between these two values.
So, we can determine the difference between the smallest 7-digit and the largest 8-digit numbers by subtracting the smallest from the largest.
Thus, we get,
⇒99999999−1000000
⇒98999999
Hence, 98999999 is the difference between the smallest 7-digit and the largest 8-digit numbers.
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The question is in the photo for you to answer.
Answer:50
Step-by-step explanation:
The triangle below is isosceles. Find the length of side
x to the nearest tenth.
Answer:
x=2.3
Step-by-step explanation:
Isosceles triangle means both sides are the same length, triangle is also right meaning you can plug values into Pythagorean theorem ([tex]a^2+b^2=c^2[/tex])
[tex]x^2+x^2=\sqrt{11}^2 \\2x^2=11\\x=\sqrt{\frac{11}{2} } \\x=2.345...\\x=2.3[/tex]
Assuming all my math is right, this is your answer
Are the following triangles congruent? Why or why not? Yes, AAS Yes, SAS Yes, SSS No, there is not enough information
The following triangles are congurent
Yes SAS
Write the equation of a line in slope intercept form that meets these two criteria
1. It does not pass through quadrant 1
2. It contains the point (-3,1)
What is an example of a linear equation in two variables in standard form?.
The example of a linear equation in two variables in standard form is 3x + 2y = 6
A linear equation in two variables in standard form is of the form:
Ax + By = C
where A, B, and C are constants and x and y are variables.
An example of a linear equation in two variables in standard form is:
3x + 2y = 6
This equation can be written in standard form by first subtracting 6 from both sides,
3x + 2y -6 = 0
and then dividing both sides by the greatest common factor of the coefficients,
(3/1)x + (2/1)y = 6/1
This gives the standard form of the equation:
3x + 2y = 6.
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Find all values of p so that px^2 + 40x + 16 is a perfect square.
For a quadratic of the form px^2 + 40x + 16 to be a perfect square, it must be able to be written in the form (mx + n)^2 for some real numbers m and n.
Expanding (mx + n)^2 gives:
(mx + n)^2 = m^2x^2 + 2mnx + n^2
Comparing this to the given quadratic, we can see that:
m^2 = p
2mn = 40
n^2 = 16
Solving for m and n, we find that:
m = ±√p
n = ±4
Therefore, in order for the quadratic to be a perfect square, the square root of p must be rational, and the value of p must be one of the following:
p = 0, 1, 16
So the possible values of p that make the quadratic a perfect square are 0, 1, 16.
*URGENT*
I’ve been doing this problem over and over but i have a feeling i’m wrong, please help!!
[tex]\it tan60^o=\dfrac{AB}{BC} \Rightarrow \sqrt3=\dfrac{AB}{50} \Rightarrow AB=50\sqrt3\approx50\cdot1,732\approx87\ m[/tex]
For what value of k the following pair of linear equations has infinitely many solutions 10x 5y?.
The 2 equations will have infinitely many solutions if k equals 10.
Here we have
10x + 5y − (k−5) = 0 and 20x + 10y − k = 0
Since these 2 are already in the standard form
a₁x + b₁y + c₁ = 0
and
a₂x + b₂y + c₂ = 0
we don't have to make any changes to them
According to the law, an equation has infinitely many solutions if
a₁/a₂ = b₁/b₂ = c₁/c₂
here,
a₁ = 10, b₁ = 5, and c₁ = - k + 5
and,
a₂ = 20, b₂ = 10, and c₂ = - k
Hence, we get
10/20 = 5/10 = ( - k + 5)/(-k)
or, (k - 5)/k = 1/2
or, 2k - 10 = k
or, k = 10
Hence the 2 equations will have infinitely many solutions if k is equal to 10.
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Complete Question
For what value of k does the following pair of linear equations have infinitely many solutions?
10x + 5y − (k−5) = 0 and 20x + 10y − k = 0
Select the situation modeled by the following inequality.
17+1.5x>40
A fruit bouquet artist charges $1.50 for each piece of fruit in a bouquet, x, plus an additional $17 for the basket and decorations. Customers receive free delivery when their order is over $40.
B.
A 17-foot tall red maple tree is growing at a rate of 18 inches per year beneath power lines that hang 40 feet off the ground. The power company will have to prune the tree within x years, before it reaches the power lines.
C.
A recreation center charges a monthly fee of $17 and an additional $1.50 per visit. To stay within her monthly budget, Anne can spend at most $40 on rec center fees after x visits.
D.
Mark is training for a marathon. He currently runs 17 miles a week and plans to increase this amount by 1.5 miles each of the next x weeks until he has an average weekly mileage of at least 40.
Answer:
A fruit bouquet artist charges $1.50 for each piece of fruit in a bouquet, x, plus an additional $17 for the basket and decorations. Customers receive free delivery when their order is over $40.
Step-by-step explanation:
$1.50 represents the cost of each piece of fruit, but we don't know how many fruits are included in the basket, so let x be the number of fruit. That total must be added to the cost of the basket.
If consumers receive free delivery for orders over $40, then 17+1.50x must be greater than $40.
Direction:Solve for the meaning term to form equivalent
1)2:3=N:21
2)5:2=20:N
3)2:7=12:N
4)6:7=30:N
5)N:10=15:55
The equation states the ratio of two numbers, where the numerator and denominator can be changed to obtain an equivalent equation. To solve for the meaning term, the numbers in the numerator and denominator must be manipulated to get the same ratio and the value of the meaning term can be found.
1)2:3=N:21
N=21*2/3
N=14
2)5:2=20:N
N=20*5/2
N=50
3)2:7=12:N
N=12*2/7
N=4.57
4)6:7=30:N
N=30*7/6
N=35
5)N:10=15:55
N=15*10/55
N=2.73
The equation states the ratio of two numbers, where the numerator and denominator can be changed to obtain an equivalent equation. To solve for the meaning term, the numbers in the numerator and denominator must be manipulated to get the same ratio. To do this, the numerator and denominator of the first equation can be multiplied or divided by the same number to get the same ratio as the second equation. When the ratio is the same, the meaning term can be found by dividing the numerator of the second equation by the denominator of the first equation. For example, the equation 2:3 = N:21 can be solved by multiplying 3 and 21 by 2, giving 6:42 = N:42, which has the same ratio. The meaning term is then found by dividing 42 by 3, giving N = 14. This process can be applied to all equations to find the meaning term.
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What is the solution to the equation x^2 - 5x + 8 = -2?
Is X² 2x 3 a polynomial?.
The given expression x² + 2x + 3 is a polynomial.
In the math term expression is defined as an expression that is made up of variables and constants, along with algebraic operations
Here we have given the expression that can be written as x² + 2x + 3 and here we need to identify the given expression is polynomial or not.
AS we all know that the term polynomial means an expression that consists of variables (or indeterminate), terms, exponents and constants
And we have also know that the polynomials can be identified by noting which expressions contain only the operations of addition, subtraction, multiplication, and non-negative integer exponents.
And the non-polynomial expressions will be the expressions which contain other operations.
Based on these rule we have identified that the given expression is an polynomial.
Complete Question:
Is the expression x² + 2x + 3 is polynomial or not?
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the zeros of my parabola are (-6,0) and (-2,0)
what am i?
You are a parabola with vertex at (x,y) = (-4,0) and a focus at (x,y) = (-4,3).
What is parabola?A parabola is a mathematical curve that is symmetrical in shape and is often described as an upside-down U. It is a two-dimensional, closed curve and is an important part of conic section geometry. A parabola has a single vertex, which is the highest or lowest point of the parabola. It can also be thought of as the focus of the parabola.
The zeros you have listed are the x-intercepts, which means that your equation is of the form y = ax^2 + bx + c, and your a value is negative because your parabola opens downwards. You can determine the other coefficients by looking at the vertex and focus coordinates.
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In triangle ABC, AC = 21, BC = 28, and ∠ACB = 90◦
. The bisector of ∠ACB meets AB at D.
Find the length BD and CD
Sorry don't have image
The length of BD and CD are 15 units and 20 units respectively
How to find the length BD and CD?By the Angle Bisector Theorem, we have:
BD/DC = AC/BC = 21/28
We can use the Pythagorean Theorem to find AC:
AC² + BC² = AB²
21² + 28² = AB²
AB = 35 units
Now we can use the Angle Bisector Theorem to find BD:
BD/DC = 21/28
BD + DC = AB
BD = (21/49) × AB
BD = (21/49) × 35
BD = 15 units
To find CD, we can use the fact that BD + DC = AB:
CD = AB - BD
CD = 35 - 15
CD = 20 units
Therefore, the length are BD = 15 and CD = 20 units.
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The survey found that women's Heights are normally distributed with a mean of 63. 9 in and standard deviation 2. 2 in the survey also found that men's Heights are normally distributed with mean 67. 6 in. And standard deviation 3. 5 in considered and executed jet that seats 6 with a doorway height of 56. 4 in.
a)what percentage of adult men can fit through the door without bending?
b) what's a doorway height would allow 40% of men to fit without bending
Using the given information, we can calculate the z-score as z = (56.4 - 67.6) / 3.5, which gives us a z-score of -2.3. This means that 2.3 standard deviations below the mean of adult men's heights is the doorway height of 56.4 inches. Since the area under the normal curve from -∞ to -2.3 is 16%, this means that 84% of adult men can fit through the door without bending.
Using the given information and the desired percentage, we can calculate the z-score as z = (x - 67.6) / 3.5, where x is the doorway height. Solving for x, we get x = 57.6 inches. Therefore, a doorway height of 57.6 inches would allow 40% of adult men to fit through without bending.
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Un equipo de cuatro personas participó en una carrera de revelo de 400 yardas cada miembro del equipo corrió la misma distancia el equipo completo a la carrera en 53.2 segundos cuál es el tiempo promedio que corrió cada persona
Un equipo de cuatro personas participó en una carrera de relevo de 400 yardas, lo que significa que cada miembro del equipo corrió una distancia de 400 yardas. El equipo completo completó la carrera en 53.2 segundos. Para calcular el tiempo promedio que cada persona corrió, debemos dividir el tiempo total de la carrera entre el número de personas en el equipo. En este caso, se divide 53.2 segundos entre 4 personas, lo que da un tiempo promedio de 13.3 segundos por persona.
When a number is put into a machine, a different number comes out. If 5 goes in, 2 comes out. If 7 goes in, 4 comes out. If 8 goes in, 5 comes out. If 10 goes in, what number should come out? A 3 B 7 C 9 D 10
Order of addends has no bearing on the amount according to the commutative property of addition. 6 added value.
How to find the calculation?The machine below produces a different number when a number is entered. 9 is produced if 3 is inserted. If 6 is put in, 12 will come out. If 7 is put in, 13 will come out.
Order of addends has no bearing on the amount according to the commutative property of addition.
Changing the addends' order does not alter the amount, according to the commutative property of addition.
Every output number, as we can see, adds a value of 6 to the corresponding input number.
3 + 6 = 9.
6 + 6 = 12.
7 + 6 = 13.
The Complete Question.
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Please help me again
Answer:
x=83
Step-by-step explanation:
All angles of a triangle add up to 180 so:
53+44=97
180-97=83
Answer:
[tex]\huge\boxed{\sf x = 83\°}[/tex]
Step-by-step explanation:
Statement:The sum of internal angles of a triangle equal 180 degrees.Solution:So,
x + 53 + 44 = 180
x + 97 = 180
Subtract 97 from both sidesx = 180 - 97
x = 83°[tex]\rule[225]{225}{2}[/tex]
What is the rate of return when 10 shares of Stock
A, purchased for $15/share, are sold for $210? The
commission on the sale is $6.
Rate of Return =[?]%
Give your answer as a percent rounded to the
nearest tenth. (already tried 36%)
Set up a ratio: 150/100 = 210/x, or your investment gave you a return of 36% of the 150 you invested.
How do I calculate rate of return?The investment's initial value is subtracted from its current value, which is then divided by the investment's original value to determine a simple rate of return.
The calculation is as follows in light of the facts above:
The entire sum should be
30 × 15
= $450
= 210 - 6
= $204
The total amount should be because it was sold for $210 plus a $6 commission.
Right now, rate of return is
= (204 - 450) ÷ 204×100
= 16.58%
You spent $150 to purchase 10 shares at a price of 15%, or 36%. You made 54$ after subtracting the commission of $6 and selling it for 210$.
Set up a ratio: 150/100 = 210/x, or your investment gave you a return of 36% of the 150 you invested.
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What is the type of polynomial 2x2 3x 9 expressing area of the garden?.
The expression 2x2 3x 9 area of the garden is a quadratic polynomial.
2x2 contains a power value and 3x contains the constant x and 9 is the integer so this is the Quadratic Polynomial. When a variable term in the polynomial expression has a highest power of 2, the polynomial is said to be quadratic.
Only the exponent of the variable is taken into account when determining a polynomial's degree. It is not taken into account how strong a coefficient or constant term is.
A quadratic equation or quadratic function is created when a quadratic polynomial is equal to 0. The roots or zeros of the quadratic equation are the name given to the solutions of such an equation.
The capability to derive a number of significant inferences from the analysis of the discriminant is an additional advantage of this approach.
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Full Question: What is the type of polynomial 2x^2-3x-9 expressing area of the garden?
(a) linear polynomial
(b)Quadratic polynomial
(c) cubic polynomial
(d) constant polynomial
PLS HELP dont worry about the stuff on top!!
Answer:
Where is the statement?
Step-by-step explanation:
Find the value of y
Answer:
115
Step-by-step explanation:
How to solve 2 equations with 2 variables using calculator?.
You can solve 2 equations with 2 variables using calculator in equation mode.
To solve a system of two equations with two variables using a scientific calculator, you can use the following steps (based on CASIO fx-991ES PLUS):
First press the 'mode' button and then press '5' corresponding to equations.
Now press '1' corresponding to a linear equation in two variables of format anX + bnY = cn. Now a matrix appears, each row correspond to each equation. The first column represent the coefficient of X, second column represent the coefficient of Y and third column, the coefficient. Note that the equation should be of the format mentioned before.
Now press '=' to get the solution. On the first press you get X and on second press, you get the value of 'Y'.
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3. The circle is circumscribed by the pentagon as shown (not drawn to scale). If QZ = 10, IX = 9, XT = 9, UW = 17, and SU = 10, find the perimeter of the pentagon and show work.
The perimeter of the pentagon is 76 units. The solution is obtained using tangent to circle.
What is tangent to a circle?
A line that touches a circle only once is said to be tangent to it. A point to circle can only have one tangent.
In the figure, the circle is circumscribed by the pentagon.
We are given QZ = 10, YX = 9, WX = 9, UW = 17, and US = 10
VW = WX = 9 (tangent of circle)
So, VU = UW - VW
VU = 17-9= 8
Since, VU and UT are tangents of circle, therefore
UT = 8
US = UT + TS
⇒10 = 8 + TS
⇒TS = 2
Now, TS and SR being tangents, therefore
TS = SR = 2
Also, RQ and QZ are tangents, therefore
RQ = QZ = 10
Similarly, ZY and YX are tangents, therefore
ZY = YX= 9
Thus, Perimeter = SQ + QY + YW + WU + US
⇒Perimeter = SR+ RQ+ QZ+ ZY+ YX+ XW+ UW+ US
⇒Perimeter = 2+ 10+ 10+ 9+ 9+ 9+ 17+ 10
⇒Perimeter = 76 units
Hence, the perimeter of the pentagon is 76 units.
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Why is inverse tan of infinity?.
A 90-degree tan is referred to as infinity. Thus, 90 degrees is the value for tan-1.
It is given that, tan⁻¹∞
We have to find the value of tan⁻¹∞.
Now,
The value of tan⁻¹∞ is π/2.
By using the trigonometric concepts, we can find the value of tan⁻¹∞
we already know that, tan π/2 = ∞
we have to apply tan⁻¹ on both sides
we get,
tan⁻¹ tan π/2 = tan ∞
π/2 = tan⁻¹∞
Hence, the value of tan⁻¹∞ is π/2.
The trigonometric function "tangent" is represented by the inverse function "inverse tan." The opposing side of the right triangle is divided by the adjacent side, and this relationship is utilized to compute the angle by using the tangent ratio of the angle. All inverse trigonometric functions must be named with the prefix "arc," so inverse tangent is abbreviated as "arctan."
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a quadratic function with vertex (1,3) and passes through the point (3,5). its an equation is f(x)=a(x-1)^2+3 what ls the value of a?
The value for a in quadratic function a(x-1)²+3 is obtained as a = 2.
What is a quadratic function?
A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. It is also known as the polynomial of degree 2 since the greatest degree term in a quadratic function is of second degree.
The vertex of the quadratic function is (1,3).
The line passes through the points (3,5).
The equation is in the form - a(x-1)²+3
It is known that the vertex form of a quadratic function is f(x) = a(x-h)² + k, where (h,k) is the vertex of the parabola.
So it can be written -
f(x) = a(x-1)² + 3
Substitute the value of (1,3).
f(1) = a(1-1)² + 3 = 3
And for the point (3,5) the equation will be -
f(3) = a(3-1)² + 3 = 5
Set up a system of equations -
a(1-1)² + 3 = 3
a(3-1)² + 3 = 5
Solving for a in these equations -
a = 2
Therefore, the value of a is obtained as 2.
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what is the correct inequality
Answer:
Step-by-step explanation:
What is the domain and range of least integer function?.
For least integer function,
domain : set of all real numbers
range : set of all integers
We know that the least integer function of any real number p is the least integer which is greater than or equal to the given number p.
The mathematical definition of ceiling function is :
f(x) = minimum { a ∈ Z ; a ≥ x }
where Z is the set of integers.
A least integer function is also known as the ceiling function.
The symbol to represent least integer function is ⌈ ⌉.
We can write least integer function for x as:
⌈x⌉ or ceil (x)
From above definition of ceiling function we can say that the domain of least integer function is the set of all real numbers whereas the range of is the set of all integers.
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