Number of miles in 8,400 feet are 1.6 miles.
What are proportions?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
Given that, there are 5,280 feet in 1 mile.
Let the number of miles in 8,400 feet be x.
So, 5280/1 = 8400/x
5280x=8400
x= 8400/5280
x= 1.6 miles
Therefore, number of miles in 8,400 feet are 1.6 miles.
To learn more about the proportions visit:
https://brainly.com/question/7096655.
#SPJ1
10-10x10+10÷10 try to solve it
Answer:
1
Step-by-step explanation:
10-10
0x10
0+10
10/1
1
Les drives 4 miles each way to work at an average of $0.195 per mile. He pays $2.25 a day to park and works an average of 24 days per month. If Les joins a car pool with three other workers, what will his average monthly cost be to commute to work?
The average monthly cost to commute to work will be $18.18.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
From the given information monthly cost of Les is,
= $(4×0.195 + 2.25)×24.
= $72.72.
Now, Les joins a car pool with three other workers, Therefore including Les, there are 4 people, So the monthly cost of Les would be,
= $72.72/4.
= $18.18.
learn more about the unitary method here :
https://brainly.com/question/28276953
#SPJ1
En la ciudadela de soacha de ciudad verde se identifico que el 60% de las familias residentes tienen vehiculo propio. Si se desea realizar una investigacion de mercado con dicha poblacion sobre consumo de gasolina. Cual debe ser el tamaño de la muestra teniendo en cuenta un nivel de confianza del 95% y de error de 0. 03?
The size of the exhibition is roughly 717 families.
Error is the difference between a genuine value and an estimate, or approximate, representation of that value in practical mathematics. The discrepancy between the mean of the complete population and the mean of a sample taken from that population is a frequent example in statistics.
Datos:
a 95% confidence level
Significance level = 1-0,95 = 0,05
Zα = -1,64
e = 0,03
p = 0,6
q= 0,4
The size of the display for an infinite population is:
n= Zα²*p*q/e²
n = (1,64)² *0,6*0,4/(0,03) (0,03)²
n = 717
Know more about Error at:
https://brainly.com/question/24289590
#SPJ4
At a school 30% of the sixth grade students said that football is their favorite sport to watch if 60 sixth students prefer to watch football how many sixth grade students are at the school
Answer:200
Step-by-step explanation: Since 30% of the sixth graders = 60, we can divide the equation by 30 to get 1% of the total number of sixth graders.
30% = 60
1% = 2
Multiplying this by 100 and we get 100% = 200.
A model rocket is launched with an initial upward velocity of (126ft)/(s. ) The rocket's height h (in feet) after t seconds is given by the following. H=126t-16t^(2) Find all values of t for which the rocket's height is 50 feet
At a height of 50 feet, the value of t is 7.46 seconds.
As previously mentioned, the rocket's initial upward velocity is 126 ft/s.[tex]126t-16t^2[/tex] is the equation in terms of time.
The rocket is 50 feet tall, hence in the equation height equals time, it is
therefore ,
50 = [tex]126t-16t^2[/tex]
[tex]16t^2 -126t-50=0\\[/tex]
by finding the roots of the quadratic equation
[tex]\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
where the value of b is -126
the value of a is 16
the value of c is 50
[tex]\frac{-(-126) \pm\sqrt{126^2-4(16)50} }{2(16)}[/tex]
=> [tex]\frac{126 \pm\sqrt{15876-3200} }{32}[/tex]
=> [tex]\frac{126 \pm\ 112 }{32}[/tex]
for one value of t is (126 + 112)/32
t = 7.46 seconds
for the other value of t that is ( 126-112) /32
t = 0.42
In other words, this indicates that immediately after launch, the rocket reaches 50 feet from below in 0.42 seconds, and then, after falling back down, it reaches 50 feet this time from above in 7.46 seconds.
To learn more about Roots of Equation :
https://brainly.com/question/1698424
#SPJ4
10 >-6m-(-4) Solving and graphing
inequalities, please help
The inequality equation is given by m > -1
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
10 > -6m - ( -4 ) be equation (1)
On simplifying the equation , we get
10 > -6m + 4
Subtracting 4 on both sides of the equation , we get
6 > -6m
Divide by -6 on both sides of the equation , we get
m > -1
Therefore , the value of m is all numbers greater than -1
Hence , the inequality equation is m > -1
To learn more about inequality equations click :
https://brainly.com/question/11897796
#SPJ1
23.f(s) = Vs - 1 ÷Vs + 1 .Find the derivatives.
Answer:The derivative of f(s)
Step-by-step explanation:
The derivative of f(s) = (Vs - 1)/(Vs + 1) with respect to s is
df/ds = (V(Vs + 1) - (Vs - 1)V)/(Vs + 1)^2
= (V^2 -1)/(Vs + 1)^2
How do you do algebra step by step?
To solve an algebra , Identify the problem and what you need to find (the variable).
What is algebra ?
Algebra is a branch of mathematics in which arithmetic operations and other formal manipulations are applied to abstract symbols rather than specific numbers.
To solve an algebraic equation, you can follow these steps:
1) Identify the problem and what you need to find (the variable).
2) Write the equation clearly and legibly.
3) Simplify both sides of the equation by combining like terms, if possible.
4) Isolate the variable on one side of the equation by using inverse operations (e.g. adding or subtracting the same value from both sides, or dividing or multiplying both sides by the same value).
5) Check your solution by substituting it back into the original equation and making sure both sides are equal.
To solve an algebra , Identify the problem and what you need to find (the variable).
To learn more about algebra visit : brainly.com/question/24875240
#SPJ4
What is a vertical line example?
Vertical Line is a line that runs perpendicular to the Y-axis. It runs in a straight line from top to bottom and vice versa. Any point along this line will have the same x-coordinate value.
No slope exists along the vertical lines. Since it follows the y-axis parallel, the slope cannot be determined. As a result, x = an is the equation for the vertical line that, at any point, say "a," crosses the x-axis.
Since a vertical line has no y-intercept and 0 for the slope denominator, its slope is infinity or undefined.
In mathematics, we use a vertical line to determine whether the relationship is a function. If all vertical lines crossed it no less than once, it would be a function. Another name for this is the vertical line test. If a graph only has one output (y) for each input (x), it will be regarded as a function. A vertical line is therefore not a function.
To learn more about Vertical Line link is here
brainly.com/question/13425491
#SPJ4
What is the multiplicative inverse of 4 /- 9?
The multiplicative inverse is explained as the reciprocal of a specified number. It is used to clarify mathematical expressions.
The word 'inverse' implies something contrary/ opposite in effect, order, position, or direction. Any number when it is multiplied by its multiplicative inverse results in always one.
Find the multiplicative inverse of positive integers is similar to natural numbers (explained above).
Just like positive integers, the multiplication of a negative number and its reciprocal must be equal to one. hence, the multiplicative inverse of any negative number is it is reciprocal.
The multiplication inverse of 4/-9 is:
So, the inverse of 4/-9 is = -9/4.
To know more about Multiplication Inverse:
brainly.com/question/13715269
#SPJ4
90+(6x+5)+11x=180° solve for x
Answer:
x=5
Step-by-step explanation:
90+(6x+5)+11x=180
Add 90 and 5 to get 95.
95+6x+11x=180
Combine 6x and 11x to get 17x.
95+17x=180
Subtract 95 from both sides.
17x=180−95
Subtract 95 from 180 to get 85.
17x=85
Divide both sides by 17.
x=
17
85
Divide 85 by 17 to get 5.
x=5
HAVE A GREAT NIGHT!!
Answer:
x = 5
Step-by-step explanation:
We simply need to isolate x to solve:
[tex]90+(6x+5)+11x=180\\6x+5+11x=90\\17x+5=90\\17x=85\\x=17[/tex]
draw a line representing the rise and a line representing the run of the line. state the slope of the line in simplest form.
The slope of the line in simplest form is 1/1, or 1.
The line has a rise of 3 units and a run of 4 units. The slope of the line can be represented by the formula "rise/run" and can be calculated as follows: slope = 3/4. The slope of the line in simplest form is 3/4.
To calculate the slope of the line, we need to divide the rise by the run. In this case, the rise is 3 units and the run is 4 units. To calculate the slope, we divide 3 by 4. This gives us a slope of 3/4.
The slope of the line can also be written in simplest form. Simplest form means that we simplify the fraction as much as possible. We can do this by dividing both the numerator and the denominator by the same number until they cannot be divided any further. In this case, the numerator and the denominator are both divisible by 3. We can divide 3 by 3 to get 1, and divide 4 by 3 to get 1. Therefore, the slope of the line in simplest form is 1/1, or 1.
Learn more about slope of the line here:
https://brainly.com/question/3605446
#SPJ4
What are trigonometric ratios Class 10?
The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).
Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The trigonometric ratios of any acute angle are the ratios of the sides of a right-angled triangle with respect to that acute angle.
Trigonometry is a discipline of mathematics that deals with the sides and angles of a right-angled triangle in geometry. As a result, trig ratios are evaluated in terms of sides and angles.
Thus, The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).
To know more about trigonometric ratios visit: brainly.com/question/25122832
#SPJ4
Evaluate: f(g(0))
Pre cal test question
Our succinct response is therefore 8 . Functions are typically denoted by the letter f. (x).
what is functions ?Mathematics deals with numbers and their variants, equations and related structures, shapes and their locations, and locations where they might be found. The term "function" describes the connection between a group of inputs, each of which has a corresponding output. A function is an association between inputs and outputs where each input results in a single, unique output. Functions are typically denoted by the letter f. (x). The input is an x. On functions, one-to-one functions, many-to-one functions, within functions, and on functions are the four main categories of functions that are available.
given
To locate f(h(7)), two functions are presented to us.
Finding h(7) h(x)=x3343
h(7)=73343=343343=0 would be my first step.
Knowing h(7) now allows us to enter it into f. (x).
f(x)=5x2−13x+8
f(0)=5⋅02−13⋅0+8=8
Our succinct response is therefore 8 . Functions are typically denoted by the letter f. (x).
To know more about function visit:
https://brainly.com/question/28193995
#SPJ1
The quantities x and y are proportional. What is the missing value in the table?
Answer:
D
Step-by-step explanation:
[tex]\frac{10}{\frac{5}{7} }[/tex] = [tex]\frac{y}{4}[/tex] Cross multiply and solve for y
[tex]\frac{5}{7}[/tex] y = 40 Multiply both sides by [tex]\frac{7}{5}[/tex]
[tex](\frac{7}{5})[/tex][tex](\frac{5}{7})[/tex] y = [tex](\frac{7}{5})[/tex] [tex](\frac{40}{1})[/tex]
y = 56
What is the equation written in vertex from of a parabola with a vertex of (4, –2) that passes through (2,0)?
The equation of parabola is y=1/2(x-4)^2-2.
Vertex of (4, –2) that passes through (2,0)
We can use the vertex form of the quadratic equation:y = a(x - h)² + k
k=-2,h=4
Substitute these values into the vertex form to solve for a:
y = a(x - h)² + k
When x=2,y=0
a=1/2
Therefore, the quadratic equation in vertex form is:y = a(x - h)² + k
k=-2,h=4
The equation of such a parabola is y=1/2(x-4)^2-2
Learn more about parabola,
https://brainly.com/question/28747870
I need help with this. I have no clue. 10 points
Answer:
[tex]\frac{HI}{JK}[/tex]
Step-by-step explanation:
Corresponding sides of similar triangles have proportional side lengths.
SLOPE TOPIC!! . Determine a possible second point with a y-coordinate of 8.
Please help!!! I will give brainliest
A possible second point which has a y-coordinate of 8 is 5.
How to calculate the slope of a line?In Mathematics, the slope of any straight line can be determined by using this mathematical equation;
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Based on the information provided, we can logically deduce the following slope and data points on the line:
Points on x-axis = (1, 2).Points on y-axis = (_, 8).Slope (m) = 3/2Substituting the given points into the slope formula, we have the following;
Slope, m = (y₂ - y₁)/(x₂ - x₁)
3/2 = (8 - 2)/(x₂ - 1)
3/2 = 6/(x₂ - 1)
Cross-multiplying, we have:
3(x₂ - 1) = 12
x₂ - 1 = 12/3
x₂ - 1 = 4
x₂ = 4 + 1
x₂ = 5
In conclusion, the required second point (x₂) is equal to 5.
Read more on slope here: brainly.com/question/3493733
#SPJ1
Classifying Polygons Practice HELP. Which Polygon or Polygons are regular?
Answer:
7 sides is the answer of regular polygon
How many solutions does the system of linear equations represented in the graph have? Coordinate plane with one line that passes through the points 0 comma 2 and 3 comma 3 and another line that passes through the points 0 comma negative 1 and 3 comma 0.
Answer:
Step-by-step explanation:
ntroducción Recuerda que una ecuación lineal se grafica como una recta, que indica que todos los puntos de una recta son soluciones de la ecuación lineal. Existe un número infinito de soluciones. Si tenemos un sistema de ecuaciones lineales, la solución del sistema es el valor que hace válidas todas las ecuaciones.
Evaluate: 128{1/7}
a:2
b:4
c:8
d:not a real number
None of the given answers are correct, The value of 128{1/7} will be a fraction number.
What are mathematical operations?The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
Given a number 128{1/7}
Simplification of this number
=> 128(1/7)
=> 18.28
therefore, the Given number is a fraction number or a real number.
Learn more about Mathematical operations here:
https://brainly.com/question/20628271
#SPJ1
A tree, standing vertically, is on a slope that is inclined at an angle of 10° with the horizontal. When the angle of elevation of the sun measures 25°, the shadow of the tree down the slope is 42 feet long. How tall is the tree?
The height of the tree standing vertically is 102.45 feet.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know the sine rule for triangles, a/sinA = b/sinB = c/sinC.
Let, The height of the tree be 'x' inclined at an angle of 10°.
Therefore, From the given information,
x/sin10° = 42/sin25°.
x = (42×0.422)/0.173.
x = 102.45.
So, the height of the tree is 102.45 feet.
learn more about the sine rule for triangles here :
https://brainly.com/question/20839703
#SPJ1
please help with part 2 also
The price of the first pastry and the filled donuts are 0.72 and 1.1 dollars respectively.
How to find the price of each type of pastry?Bill and Mary Ann went to the viola bakery. Bill bough 3 pastry and 8 filled donuts for 10.96 dollars. Mary Ann bought 4 of each for 7.28 dollars.
Therefore, the price of each type of pastry can be calculated as follows:
using equation,
let
cost of each pastry = x
cost of each filled donuts = y
Therefore,
3x + 8y = 10.96
4x + 4y = 7.28
Multiply equation(ii) by 2
3x + 8y = 10.96
8x + 8y = 14.56
subtract the equation
5x = 3.6
divide both sides by 5
x = 3.6 / 5
x = 0.72
Let's find y
4y = 7.28 - 4(0.72)
4y = 7.28 - 2.88
4y = 4.4
y = 4.4 / 4
y = 1.1
Therefore,
price of the first pastry = 0.72 dollars
price of filled donuts = 1.1 dollars
learn more on equation here: https://brainly.com/question/13698422
#SPJ1
What is the value of the power 7?
The value of power 7 can be calculated by multiplying 7 with itself the number of times indicated by the power. Therefore, the value of power 7 is 128
The value of power 7 is 128.
7^1 = 7
7^2 = 49
7^3 = 343
7^4 = 2401
7^5 = 16807
7^6 = 117649
7^7 = 823543
Therefore, the value of power 7 is 128.
The value of power 7 can be calculated by multiplying 7 with itself the number of times indicated by the power. For example, when the power is 7, then 7 needs to be multiplied by itself 7 times. 7 to the power of 1 is 7, 7 to the power of 2 is 49, 7 to the power of 3 is 343, 7 to the power of 4 is 2401, 7 to the power of 5 is 16807, 7 to the power of 6 is 117649, and 7 to the power of 7 is 823543. Therefore, the value of power 7 is 128.
learn more about power here
https://brainly.com/question/28738206
#SPJ4
Mr. Bajada paid 200000 as down payment for a farm. The remaining amount is to be settled by paying 16 200 at the end of each month for 5 years. If interest is 5 % compounded semi annually what is the cash price of his farm
If interest is 5% compounded semi-annually, the cash price of his farm is P 915625.
Compound interest is the interest you gain on interest. This can be illustrated by using basic math: if you have P 100 and it earns 5% interest each year, you'll have P 105 at the end of the first year. At the end of the second year, you'll have P 110.25.
Down payment = P 200000
Amount paid in monthly instalments = 60 × 16200 = P 972000
Total amount paid = P 200000 + P 972000 = P 1172000
A = P(1+r/100)¹⁰
11,72,000 = P (1+5/200)¹⁰
11,72,000 = P(1.025)¹⁰
P = 11,72,000/(1.025)¹⁰
= 11,72,000/1.28
= 915625 P
To know more about Compound interest, here
https://brainly.com/question/14295570
#SPJ4
2 rulers cost 1.20 then how much does 6 ruler’s cost
Answer:
$3.60
Step-by-step explanation:
First lets find out what 1 ruler is.
If 2 rulers cost $1.20 divide it by 2 =
$ .60 .
Now we know that 1 ruler is $ .60 .
Lets multiply 6 x .60 .
What I like to do is to move the number by 1 decimal place ( to make easier ) :
.60 —> 6.0 .
Now lets multiply it 6 x 6 = 36.
Since, We moved the decimal place now lets move it back by 1 decimal place :
36 —> 3.6 .
Answer : 3.6
Joe Makes an hourly wage of $16.50. For hours worked over 40, he is paid at a rate of $24.50 per hour. Last week, Joe worked 49 hours.
a) What is Joe's goss pay for this pay period? b) What is Joe's social Security deduction?
c) What is Joe's Medicare tax deduction?
PLEASE HELP A 25,000-mile steel band is placed around the earth, snugly fit at the equator. The band is cut, and 36 inches of string is spliced into the steel band. This new, larger circular band is placed around the earth, so its center coincides with the center of the earth, and a gap is created. How wide is this gap?
When you have finished, post your work showing the formula used for calculating the gap (g), show all calculations solving for g (gap), and a statement interpreting the results of your work.
The distance is roughly 6 inches wide, The gap is actually the same width as the one made by adding 36 inches of thread to a band that is wrapped around a nickel.
Circumference of circle,
C=2лr
The radius must rise if the circumference grows by 36 inches. Call the increase in radius g "gap," please.
Therefore, r+g is the new, greater radius. Based on the formula, we may construct an equation for the larger circle.
C+36=2π(r+g)
C+36=2x+2лg
We may take these equal amounts off of both sides of the equation because C = 2r.
36=2πg
To find g, divide both sides by 2л. The spacing is just under 6 inches because 2n is roughly 6. The equation explains why the starting circumference has no bearing on the result; as a result, the earth and the nickel produce the identical gaps.
Drawing a graph demonstrates the logic behind this response. C = 2r enables us to write the following:
r = c/2π
This equation has a graph on the r, C axes that is a straight line with a slope of 1/(2л) and a zero y-intercept. The graph demonstrates that regardless of the initial circumference, any 36-inch increase in circumference results in the same (roughly 6-inch) rise in radius.
To learn more about Circumference from given link
https://brainly.com/question/27447563
#SPJ1
What is the product 4y 3 )( 2y² 3y 5?
The product of 4y3)(2y2 3y5 is 48y6. The expression can also be written as 4y3 × 2y2 × 3y5, which yields the same result. By multiplying each factor in the expression, the product of 4y3)(2y2 3y5 is 48y6.
The first part of this expression is 4y3. This can be simplified to 12y3.
The second part of the expression is 2y2 3y5. This can be simplified to 2y2 + 3y5, which is equal to 5y7.
Multiplying 12y3 and 5y7 yields 48y6.
The product of 4y3)(2y2 3y5 is 48y6.
The expression 4y3)(2y2 3y5 is composed of two factors, 4y3 and 2y2 3y5. After simplifying the factors, the expression can be written as 12y3 × 5y7. When multiplying these two factors, the product is 48y6. This means that the product of 4y3)(2y2 3y5 is 48y6. The expression can also be written as 4y3 × 2y2 × 3y5, which yields the same result. By multiplying each factor in the expression, the product of 4y3)(2y2 3y5 is 48y6.
learn more about product here
https://brainly.com/question/29775042
#SPJ4
What is the y-intercept of the polynomial y=x^4-10x^2+16