A road is 6 degrees inclined after 4900 feet of travel. The driver's increasing in altitude is 509.6
Given that,
A road is 6 degrees inclined after 4900 feet of travel.
We have to find the driver's increasing in altitude.
In a right angle triangle,
According to the definition of a right triangle, a triangle is referred to as a right-angled triangle or simply a right triangle if one of the angles is a right angle (90°). Triangle ABC is a right triangle in the illustration, consisting of the base, altitude, and hypotenuse. The significant side of a right triangle is the hypotenuse, which is the longest side and sits in opposition to the triangle's right angle.
Sinθ=Altitude/Hypotenuse
Sinθ×Hypotenuse=Altitude
Altitude=Sin6°×4900
Altitude=0.104×4900
Altitude=509.6
Therefore, The driver's increasing in altitude is 509.6
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Elijah buys 112worth of stereo equipment from stereo store there is a 2.5 processing fee for using a credit card what is the totalcost of the stereo equipment
By using percentage, we conclude that the total cost of the stereo equipment is $114.8.
The worth of stereo equipment is $112 and there is a 2.5% processing fee for using a credit card.
Whenever we purchase anything with a credit card we have to pay a processing fee that a Bank charges.
To find the total cost of the stereo equipment, we have to add the worth of the stereo equipment and processing fee for using a credit card.
And to find the processing fee for using a credit card, we have to calculate 2.5% of the worth of the stereo equipment.
So, 2.5/100 x 112 = 2.8
Therefore, the required processing fee for using a credit card is $2.8.
The total cost of the stereo equipment = $112 + $2.8 = $114.8
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The area of a rectangle is 280 and one dimension is 14. What is the other dimension?
Answer:
20
Step-by-step explanation:
280 divided by 14 is 20
Area= (length)(width)
280= (14)(x)
280=14x
divide by 14
20=x
please help!! due tmr morning!!
Answer:
6, -2, and-1
Step-by-step explanation:
f(2) means that x is 2, so looking in the left column find x as 2, and then find the corresponding number beside it.
f(x)=0 so look for 0 in the right column and find the number corresponding to it in the left.
Answer:
#8 is equal to 6
#9 is equal to -2
#10 is equal to -1
Step-by-step explanation:
If you look in the x column for 2 the outcome is 6
If you look in the f(x) column for 0 the income is -2
If you look in the f(x) column for 1.5 the income is -1
There is 100 students in a class 60 take math 40 take physics 10 take none then how many learn both math and physics
Answer: None
Step-by-step explanation: Trick question the total is 110 and none took both math and physics
GIVING 100 POINTS IF U ANSWER ASAP
A mobile company has the following plans on their website. STANDARD PLAN: $40 for 5GB (potential starting point) and $15/GB thereafter (this is a rate of change, so it could be a slope)
UNLIMITED PLAN: $80 Always, with no additional charges.
The equation for the unlimited plan is y=80.
Write an equation (y=mx+c) for the standard plan.
IT IS NOT Y=15X+40
Answer:
y = 15x - 35
Step-by-step explanation:
STANDARD PLAN information:
$40 for 5GB.$15 per GB thereafter.Define the variables:
Let x be the number of GB.Let y be the cost in dollars.If it costs $40 for the first 5GB then y = 40 when 0 ≤ x ≤ 5.
It costs $15 per GB after the first 5GB. Therefore:
When x = 6, y = 40 + 15 = 55.When x = 7, y = 40 + 15(2) = 70.When x = 8, y = 40 + 15(3) = 85.Therefore:
⇒ y = 40 + 15(x - 5)
⇒ y = 40 + 15x - 75
⇒ y = 15x - 35
The graph shows a polynomial function. The domain of the function is -4.2 ≤x≤4.7. What is the range of the function?
Answer: :( I don’t know how to solve the problem
Step-by-step explanation:
I have tried multiplying it by 0.5 or 50% and dividing it by 0.5 ( by it i was meaning the 10*10*2)
It is to be noted that the height of the bread is 5 centimeters. The hint given is in the information about the surface area. See the explanation below.
What is the surface area?In this case, the surface area of bread is the total sum of the area of the base and perimeter. The surface area of the bread is given below.
That is:
A = 2 x b + p x H,
Where b is the area of the base, p is the perimeter of the base and h is the height.
Recall that it is stated that 50% of the surface area of the bread is the crust.
The implication is that the surface area of both sides of the base is equivalent to the surface area of its perimeter.
That is:
2 x b = p x h
We can compute the perimeter of the bread as:
P = 4 x length
p = 4 x 10
p = 40cm
The area of the base is:
b = 10 x 10
b = 100cm²
Substituting the values in the above formula,
2 x 100 = 40 x h
200 = 40h
h = 200/40
h= 5cm.
Hence the height of the bread is 5cm.
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PLEASE HELP ME WITH THIS QUESTION!
Triangle B is a reflection of triangle A across the axis y=-1
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph.
The graph A is the original graph and it is transformed to B. Triangle B is a reflection of triangle A across the axis y=-1
Hence Triangle B is a reflection of triangle A across the axis y=-1
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The population of a town is increasing by 300 inhabitants each year. If its population at the beginning of 1990 was 27,541, what was its population at the beginning of 1995?
Answer:
29041
Step-by-step explanation:
1995-1990
300×5=1500
27541+1500=29041
The stemplot shows how much money a sample of high school students makes per month.
Use the stemplot to answer the questions.
The mean paycheck is $.
The mean is a .
This mean paycheck indicates that
The sum of the values is
[tex]67+85+92+123+147+181+181+196+198+213+252+277+287+325+459=3083[/tex]
Dividing this by the number of values, which is 15, the mean is 3083/15.
The mean is a measure of central tendency, and indicates that people make an average of about $205.53 per month.
Answer:
Use the stemplot to answer the questions.
The mean paycheck is $
✔ 205.53
.
The mean is a
✔ statistic
.
This mean paycheck indicates that
✔ on average, students earned $205.53 per paycheck
.
Step-by-step explanation:
edge 2023
Find the value of f(4) for the function.
f(a) = 7(a + 2)-5
f(4) = (Simplify your answer.)
Answer:
f= 37 / 4
Step-by-step explanation:
I am using ( / ) to show a fraction
Let's solve your equation step-by-step.
f(4)=7(4+2)−5
Step 1: Simplify both sides of the equation.
f(4)=7(4+2)−5
4f=42+−5
4f=(42+−5)(Combine Like Terms)
4f=37
4f=37
Step 2: Divide both sides by 4.
4f / 4 = 37 / 4
f= 37 / 4
Answer:
f= 37 / 4
Hope this helps! :)
Which of the following are rational numbers?
5.48
78.541
97
42.111...
Answer:
5.48
78.541
97
42.111...
(all of above)
Step-by-step explanation:
because a rational number is a number that can be written as a fraction
a decimal number that ends can be written as a fraction (ex: 5/4 = 1.25)
a decimal number that has a repeating number after the decimal point can also be written as a fraction (ex: 10/3 = 3.33...)
how does the speed at which you drive affect your fuel economy? to find out, researchers drove a compact car for 200 miles at speeds ranging from 35 to 75 miles per hour. from their data, they created the model fuel efficiency
Using linear function concepts, the interpretation of the slope of the model is:
The slope indicates that the Fuel Efficiency decreases by an amount of 0.15 mpg for every 1 mile per hour increase of speed.
What is a linear function?A linear function, in slope-intercept format, is modeled according to the following rule:
y = mx + b
In which:
m is the slope of the function, which is the rate of change of the function.b is the y-intercept of the function, which is the initial value of the function.For this problem, the model is given as follows:
Fuel Efficiency = 32 - 0.15Speed.
The slope is of m = -0.15, meaning that for each mph that the average velocity increases, the fuel efficiency decays by 0.15 mpg.
What is the missing information?The model is missing, and is given as follows:
Fuel Efficiency = 32 - 0.15Speed.
The units are as follows:
Fuel Efficiency: mpg.Speed: mph.It asks for the interpretation of the slope.
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-) Written as products of their prime factors, N = 2^px5^qx7^r and 500=2² × 5³.
The highest common factor of N and 500 is 2^2 x 5²
The lowest common multiple of N and 500 is 2^3 x 5³ x7.
Find p, q and r.
The highest common factor of N and 500 is 2²x5² and The lowest common multiple of N and 500 is [tex]2^{3}[/tex]x[tex]5^{3}[/tex]x7. p, q and r is p =2 , q =2 , r =1
What is prime factorization ?Prime factorization is the technique of expressing a number as the product of prime numbers. The only two components in prime numbers are the number itself and the number itself. Prime numbers include, for instance, 2, 3, 5, 7, 11, 13, 17, 19, and so forth. Any number can be represented as a sum of prime numbers by "prime factorizing" it.
Given that : Written as product of their prime factors N= [tex]2^{p}[/tex] x[tex]5^{q}[/tex]x[tex]7^{r}[/tex] and 500= 2² x 5³ The highest common factor of N and 500 is 2² x 5³? The lowest common multiple of N and 500 is 2²x5²x7.
N= [tex]2^{p}[/tex] x[tex]5^{q}[/tex]x[tex]7^{r}[/tex]
500= 2² x 5³
highest common factor of N and 500 is 2²x5²
p ≥ 2
q = 2
r ≥ 0
The lowest common multiple of N and 500 is 2²x5²x7.
HCF x LCM = N * 500
=> 2²x5² x 2²x5²x7 = [tex]2^{p}[/tex] x[tex]5^{q}[/tex]x[tex]7^{r}[/tex] x 2² x5³
=> 2²x5x7 = [tex]2^{p}[/tex] x[tex]5^{q}[/tex]x[tex]7^{r}[/tex]
p = 2
q = 1 but q = 2 as per HCF
r = 1
There is mistake in data
As LCM should have [tex]5^{3}[/tex] atleast as 500 has 5^2
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As a football team kept winning, the attendance of their games increased. Use Demos (or calculator) to write a linear equation to model this data.
The data:
Game # ||| Attendance
1. 722
2. 763
3 772
4 826
5 815
6 857
7 897
A line of best fit (linear equation) to model this data is y = 27x + 699.43
What is a line of best fit?A line of best fit can be defined as a statistical (analytical) tool that is used in conjunction with a scatter plot, in order to determine whether or not there's any association (correlation) between a data.
In this scenario, the game would be plotted on the x-axis of the scatter plot while the attendance would be plotted on the y-axis of the scatter plot.
By critically observing the scatter plot (see attachment) which models the data in the given table, we can reasonably and logically deduce that a linear equation for the line of best fit is given by:
y = 27x + 699.43
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please helpp i have a test tmr
The answer is X= 3, -2
What is the equation of the line that passes through the point (6, 1) and has a slope
of -5/6
Answer:
y = -5/6x + c
Step-by-step explanation:
line equation is:
y = mx + c
y = -5/6x + c
sub in values:
1 =-5/6(6) + c
1 = -5 + c
6 = c
equation of line:
y = -5/6x + 6
PQRSTUVW is a cuboid.
Find the angle between the line PV and the plane PTWS.
Give your answer correct to 1 decimal place.
The angle between the line PV and the plane PTWS is 29.4°
In this question we have been given a cuboid PQRSTUVW
We need to find the angle between the line PV and the plane PTWS.
First we find the length of the line PW which is diagonal of rectangular surface PTWS.
In right triangle PWS by Pythagoras theorem,
PW² = PS² + SW²
PW² = 19² + 16²
PW² = 361 + 256
PW² = 617
PW = 24.84 cm
now, consider a right triangle PWV.
Consider tangent of angle VPW
tan(∠VPW) = VW / PW
tan(∠VPW) = 14 / 24.84
∠VPW = tan^{-1}(0.5636)
∠VPW = 29.4°
Therefore, the angle between the line PV and the plane PTWS is 29.4°
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WILL MARK BRAINLIEST!!
Given f(x) and g(x) = f(x) + k, use the graph to determine the value of k.
2
3
4
5
Answer:
k = 4
Step-by-step explanation:
g(x) higher than by 4 units
Answer:
k = 4
Step-by-step explanation:
'k' represents the vertical translation
2a + 3b and 6x +10y =40
what is the value of 6a+9b what is the value of 3x +5y
2a + 3b = 7
-> 3(2a + 3b) = 21
6x + 10y = 40
-> (6x+10y)/2 = 20
Therefore, 6a + 9b = 21 ; 3x + 5y = 20.
The value of 6a + 9b is 21 and the value of 3x + 5y is 20
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
The given equations are,
2a + 3b = 7 (1)
and 6x + 10y = 40 (2)
To find the value of 6a + 9b,
Multiply equation (1) with 3,
3(2a + 3b) = 7 x 3
6a + 9b = 21
To find the vale of 3x + 5y,
Divide equation (2) by 2,
1/2(6x + 10y) = 40/2
3x + 5y = 20
The required values are 21 and 20.
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What is the value of (−15)3 when evaluated? 3,375 45 −225 −3,375
The value of the exponential form (-15)³ is -3375.
The f(x)= exp (x) or eˣ are used to represent the exponential function in mathematics (where the argument x is written as an exponent).
The term typically refers to the positive-valued function of a real variable, unless otherwise specified, though it can also be extended to the complex numbers or modified to refer to other mathematical objects like matrices or Lie algebras. The exponential function originated from the concept of exponentiation, or repeated multiplication; but, more recent definitions—of which there are many that are equivalent—allow it to be rigorously extended to all real arguments, including irrational values.We know that any exponential form such as (-15)³ can be written as
-15×-15×-15 = -3375
Therefore the solution of the exponential form is -3375 .
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help me guys please I will give brainliest
Answer:
[tex]\textsf{1.} \quad 3x^2-4x+12[/tex]
[tex]\textsf{2.} \quad 3x^2-8x+4[/tex]
[tex]\textsf{3.} \quad 6x^3-8x+32[/tex]
[tex]\textsf{4.} \quad \dfrac{3x^2-6x+8}{2x+4}[/tex]
[tex]\textsf{5.} \quad 12x^2+36x+32[/tex]
Step-by-step explanation:
Given functions:
[tex]\begin{cases}f(x)=3x^2-6x+8\\g(x)=2x+4\end{cases}[/tex]
Function composition is an operation that takes two functions and produces a third function.
Question 1The composite function (f + g)(x) means to add function f(x) and g(x):
[tex]\begin{aligned}\implies (f+g)(x) & = f(x)+g(x)\\&=(3x^2-6x+8)+(2x+4)\\ &=3x^2-6x+2x+8+4\\ &=3x^2-4x+12\end{aligned}[/tex]
Question 2The composite function (f - g)(x) means to subtract function g(x) from function f(x):
[tex]\begin{aligned}\implies (f-g)(x) & = f(x)-g(x)\\&=(3x^2-6x+8)-(2x+4)\\&=3x^2-6x+8-2x-4\\ &=3x^2-6x-2x+8-4\\ &=3x^2-8x+4\end{aligned}[/tex]
Question 3The composite function f(x) · g(x) means to multiply functions f(x) and g(x):
[tex]\begin{aligned}\implies f(x)\cdot g(x) & =(3x^2-6x+8)(2x+4)\\ &=3x^2(2x+4)-6x(2x+4)+8(2x+4)\\&=6x^3+12x^2-12x^2-24x+16x+32\\&=6x^3-8x+32\end{aligned}[/tex]
Question 4The composite function f(x)/g(x) means to divide function f(x) by function g(x):
[tex]\begin{aligned}\implies \dfrac{f(x)}{g(x)} & = \dfrac{3x^2-6x+8}{2x+4}\\\end{aligned}[/tex]
Question 5The composite function f(g(x)) means to substitute the function g(x) in place of the x in function f(x):
[tex]\begin{aligned}\implies f(g(x))&=3(g(x))^2-6(g(x))+8\\&=3(2x+4)^2-6(2x+4)+8\\&=3(2x+4)(2x+4)-12x-24+8\\&=3(4x^2+16x+16)-12x-16\\&=12x^2+48x+48-12x-16\\&=12x^2+48x-12x+48-16\\&=12x^2+36x+32\end{aligned}[/tex]
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SHOW YOUR WORK FOR BRAINLIEST
Find the length of the segment indicated. Round your answer to the nearest tenth if necessary.
The answer is 33.6
Answer:
Explanation below:
Step-by-step explanation:
So basically x is the diameter - so is the radius times by 2
The radius is the length from the center of the circle to the edge which in this case is 7.9 + 8.9 = 16.8
So from this we have worked out the radius which is 16.8
But x is the diameter so we have to times 16.8 by 2 which gives 33.6
Roger ran 13.2 miles in 1.6 hours. Ana ran 10.85 miles in 1.4 hours. In miles per hour, how much faster was Roger's average speed than Ana's?
Roger has a faster speed at 8.25 miles per hour compared to Ana who ran with a speed of 7.75 mph.
What is Average speed?
The average speed is the total distance traveled by any object in a particular time interval.
Given that;
Distance covered by Roger = 13.2 miles
Time is taken by Roger = 1.6 hours
Distance covered by Ana = 10.85 miles
Time is taken by Ana = 1.4 hours
Now, Calculate the speed of Roger and Ana as;
Speed = Distance / Time
For Roger,
Speed = 13.2/1.6 = 8.25 mph
For Ana,
Speed = 10.85/1.4= 7.75 mph
Hence, Roger has a faster speed at 8.25 miles per hour compared to Ana who ran with a speed of 7.75 mph.
7sufifiglhofsufigif7dufig
Using a proportional relationship, it is found that:
a) The independent variable is x.
b) The dependent variable is y = 12x.
c) The domain is of 0 ≤ x ≤ 25.
d) The range is of 0 ≤ y ≤ 300.
What is a direct proportional relationship?A direct proportional relationship is a function in which the output variable is given by the multiplication of the input variable and the constant of proportionality k, as shown below:
y = kx
In which:
x is the independent variable.y is the dependent variable.For this problem, Jennifer makes $12 an hour, hence the constant is of k = 12 and the equation is:
y = 12x.
She can work between 0 and 25 hours, hence:
The domain is 0 ≤ x ≤ 25, which is the set that contains all possible input values for the function.The range is 0 ≤ y ≤ 300, as 25 x 12 = 300, which is the set that contains all possible output values for the function.More can be learned about proportional relationships at https://brainly.com/question/10424180
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The population of a city decreases by 1.7% per year. If this year's population is 366,000, what will next year's population be, to the nearest individual?
The population of the city next year, after decreasing, will be 359,778
Here, we are given that the population of a city decreases by 1.7 percent per year.
This, means that the city's population will decrease by 1.7% in 1 year, (1.7 × 1.7)% in 2 years and so on.
The population of the city this year is given to be 366,000.
Thus, next year, the population will decrease by-
1.7% of 366,000
= 1.7/100 × 366,000
= 17/10 × 3,660
= 17 × 366
= 6,222
Thus, the city's total population next year will be-
366,000 - 6,222
= 3,59,778
Hence, the city's population to the nearest individual comes out to be 359,778.
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Jeweler has 36 inches of silver chain. she needs 4 times that much to make some necklaces and 3 times that amount to make some bracelets. how much silver chain does the jeweler need to make her necklaces and bracelets? the jeweler needs necklaces and bracelets. inches of silver chain to make her
Jeweler needs 144 inches of silver chain to make the necklaces and 108 inches of silver chain to make the bracelets.
What is defined as multiplication?Multiplication, along with addition, subtraction, and division, is one of the four fundamental arithmetic operations. Multiplication in mathematics refers to the repeated addition of gatherings of equal size.The signs cross (x), asterisk (*), and dot (.) represent multiplication.The commutative property states so when we multiply 2 numbers, the order has no effect on the product.The Associative Property states because if we multiply three or more numbers one after the other, this same order does not matter.For the given question;
The total length of silver chain jeweler had = 36 inches.
Length of silver chain required to make necklaces = 4 times.
So, multiply 36 with 4 to get the result;
36 x 4 = 144.
Thus, the silver chain required to prepare the necklaces is 144 inches.
For the making of bracelets = 3 times the length of silver chain.
So, multiply 36 with 3 to get the result.
36 x 3 = 104
Thus, the length of silver chain required to prepare bracelets is 104 inches.
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The zeros of a quadratic function are 1 and 4. How would you use this information to write the equation for the function? If the equation cannot be written, explain why. Use complete sentences in your answer.
Answer:
The quadratic function is x²-5x+4=0
Step-by-step explanation:
To find a quadratic equation whose roots are given we use
x²-(sum of roots)x + (product of roots) =0
x²-(4+1)x + (4×1)=0
x²-5x+4=0
let us check if it is correct
x²-5x+4=0
x²-1x-4x+4=0
x(x-1)-4(x-1)=0
(x-4)(x-1)=0
(x-4)=0 and (x-1)=0
x=4 and x=1
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A mother dog weighs 75 pounds. One of her puppies weighs
6 pounds. How many times greater is the mother dog's weight
than her puppy's weight?
Answer: 12.5 pounds
Step-by-step explanation:
How many times greater, 75=6x
divide by 6
How many adults and children were at the show