The altitude of the balloon now is 324 meters.
Altitude , height, or depth are terms used to describe the measurement between a reference datum and a location or item, usually in the vertical or "up" direction.
There are various definitions and reference points used depending on the circumstance (e.g., aviation, geometry, geographical survey, sport, or atmospheric pressure). The term "elevation" or altitude is commonly favored in the context of geography, despite the fact that the term "altitude" is regularly used to refer to a location's height above sea level.Vertical distance measurements conducted in the "down" direction are frequently referred to as "depth" and the vertical distance in the up direction is altitude.The height of the balloon is 288 meters.
The balloon rises by 36 meters.
The altitude of the balloon now = 288 + 36 = 324 meters
To learn more about altitude visit:
https://brainly.com/question/12999337
#SPJ1
What is the distance between the following points
Choose 1 answer:
√63
√77
√79
√85
Check the picture below.
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-2}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{9})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(~~7 - (-2)~~)^2 + (~~9 - 7~~)^2} \implies d=\sqrt{(7 +2)^2 + (9 -7)^2} \\\\\\ d=\sqrt{( 9 )^2 + ( 2 )^2} \implies d=\sqrt{ 81 + 4 } \implies d=\sqrt{ 85 }[/tex]
Find each sim for 10,000+2,000+60+1 I tried searching it up
And I could not find it
The sum of the expression 10,000 + 2,000 + 60 + 1 is 12061
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to determine the sum of the expression?The expression is given as
10,000 + 2,000 + 60 + 1
The sum of the expression can be calculated using a calculator
So, we have
10,000 + 2,000 + 60 + 1 = 12061
Hence, the value of the sum 10,000 + 2,000 + 60 + 1 is 12061
Read more about expressions at
https://brainly.com/question/4344214
#SPJ1
Write the equation of the line that passes through the points (−8,−9) and (3,−4). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.
[tex](\stackrel{x_1}{-8}~,~\stackrel{y_1}{-9})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-4}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-4}-\stackrel{y1}{(-9)}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{(-8)}}} \implies \cfrac{-4 +9}{3 +8} \implies \cfrac{ 5 }{ 11 }[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-9)}=\stackrel{m}{ \cfrac{ 5 }{ 11 }}(x-\stackrel{x_1}{(-8)}) \implies {\large \begin{array}{llll} y +9= \cfrac{ 5 }{ 11 } (x +8) \end{array}}[/tex]
please answer ASAP....
THANKS...
for the different values of x, we have found the values of the function f (x) = x² + 2 x + 1.
We are given the function:
f (x) = x² + 2 x + 1
We need to complete the given table of values for x and f (x)
For x = - 3:
f (- 3) = (- 3)² + 2 (- 3) + 1
f (- 3) = 9 - 6 + 1
f (- 3) = 4
For x = - 2:
f (- 2) = (- 2)² + 2 (- 2) + 1
f (- 2) = 4 - 4 + 1
f (- 2) = 1
For x = - 1:
f (- 1) = (- 1)² + 2 (- 1) + 1
f (- 1) = 1 - 2 + 1
f (- 1) = 0
For x = 0:
f (0) = (0)² + 2 (0) + 1
f (0) = 0 + 0 + 1
f (0) = 1
For x = 1:
f (1) = (1)² + 2 (1) + 1
f (1) = 1 + 2 + 1
f (1) = 4
For x = 2:
f (2) = (2)² + 2 (2) + 1
f (2) = 4 + 4 + 1
f (2) = 9
For x = 3:
f (3) = (3)² + 2 (3) + 1
f (3) = 9 + 6 + 1
f (2) = 16
Table:
x - 3 - 2 - 1 0 1 2 3
y 4 1 0 1 4 9 16
Therefore, for the different values of x, we have found the values of the function f (x) = x² + 2 x + 1.
Learn more about function here:
https://brainly.com/question/25638609
#SPJ1
what formula is used to calculate the root mean square error over a range of forecasted values, if the actual value of the time series at time t and the forecast value for time t are denoted by a and f respectively?
RMSE = (nΣt=1 (At-Ft)²/n is the formula .
What is Root Mean Square Error (RMSE)?
Root mean square error, also known to as root mean square deviation, is one of the techniques more frequently used to evaluate the accuracy of forecasts. It demonstrates the Geometric separation between forecasts and observed true values.What makes a good RMSE?
A general rule of thumb states that the model can reasonably predict the data consistently when the RMSE value is between 0.2 and 0.5. A score of Adjusted R-squared more than 0.75 is also highly effective for proving accuracy. An adjusted R-squared of 0.4 or higher is also acceptable in some situations.Identify the formula used to calculate the root mean square error over a range of forecasted values, if the actual value of the time series at time t and the forecast value for time t are denoted by A t and F t respectively.
RMSE = [ (nΣt=1 (At-Ft)2) / n ]0.5
MSE = (nΣt=1 (At-Ft)²/n
RMSE = Root of MSE
Learn more about RMSE
brainly.com/question/24075666
#SPJ9
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=8800(1.573)^x
y=8800(1.573)
x
The given exponential function represents the growth in function with a percentage increase as 57.3%.
Given we have the exponential function as :
y=8800(1.573)ˣ
it is in the form of: y=k.aˣ
therefore, if a>2 then the function represents growth.
and if a<1 then the function represents decay.
now, x=1.573
1.573 > 1
so, the function represents change in growth.
therefore, 1.573 - 1
= 0.573
= 57.3%
hence the change in growth of the function is increased by 57.3%.
Learn more about Exponential functions here:
brainly.com/question/2456547
#SPJ1
The number of seconds that it takes for a kettle to boil, n, is
inversely proportional to its power in kilowatts, p.
The equation of proportionality is n
280
p
Work out the power of the kettle if it takes 70 seconds to boil.
If your answer is a decimal, give it to 1 d.p.
The power of the kettle if it takes 70 seconds to boil is 4 kilowatts.
It is given in the question that the number of seconds that it takes for a kettle to boil, n, is inversely proportional to its power in kilowatts, p.
Also, The equation of proportionality is n = 280/p.
We have to find the power of the kettle if it takes 70 seconds to boil.
According to the data given in the question, we can write,
n ∝ 1/p
n = k/p
Where k is the constant of proportionality.
Hence, k = 280
n = 280/p
Putting n = 70 seconds in the equation, we get,
70 = 280/p
p = 280/70
p = 4 kilowatts.
To learn more about constant of proportionality, here:-
https://brainly.com/question/8598338
#SPJ1
need help y’all pls ♀️
The value of x in the triangle extended through W to X is 39.5°.
What will be the value of x in the triangle?It should be noted that a triangle has a total angle of 180° and also has three sides. Based on the information given, the following can be deduced:
Angle 1 = 3x - 4.
Angle 2 = 6x + 6
Angle 3 = x + 20
Therefore, the value of x will be gotten by adding the values and equating to 180°. This will be:
3x - 4 + 6x + 6 + x + 20 = 180
4x + 22 = 180
Collect like terms
4x = 180 - 22
4x = 158°
Divide
x = 158/4
x = 39.5°
Learn more about triangles on:
brainly.com/question/2644832
#SPJ1
Answer: 39.5°
Step-by-step explanation:
rectangle QRST has coordinates Q(-8,5), R(-8,7), S(-5,7), and T(-5,5). dilate the rectangle by a scale factor of 4 with a center of dilation at the origin. write a rule to describe this transformation and use the rule to determine the coordinates of rectangle Q'R'S'T
plsssss help !!!!
To describe the transformation, dilation by a scale factor of 4 with center of dilation at origin the rule is (x,y)→(4x,4y) and , the coordinates of rectangle Q'R'S'T will be Q'(-32,20) , R'(-32,28) , S'(-20,28) , T'(-20,20) .
In the question ,
the coordinates of the rectangle QRST are given as Q(-8,5), R(-8,7), S(-5,7), and T(-5,5) .
we have to to dilate the rectangle by a scale factor of 4 with center of dilation at the origin.
So , to dilate the rectangle by a scale factor of 4 with center of dilation at the origin we multiply coordinates of the original shape with the dilation factor .
So , the rule of transformation becomes
(x,y)→(4x,4y)
Using the above rule to find the coordinates of the rectangle Q'R'S'T' .
given Q = (-8,5)
So, Q' = (4*(-8),4*5)
Q' = (-32,20)
Given R = (-8,7)
So, R' = (4*(-8),4*7)
R' = (-32,28)
Given S = (-5,7)
So, S' = (4*(-5),4*7)
S' = (-20,28)
Given T= (-5,5)
So, T' = (4*(-5),4*5)
T' = (-20,20)
hence , the rectangle Q'R'S'T' coordinates are Q' = (-32,20) , R' = (-32,28) , S' = (-20,28) , T' = (-20,20) .
Therefore , to describe the transformation, dilation by a scale factor of 4 with center of dilation at origin the rule is (x,y)→(4x,4y) and , the coordinates of rectangle Q'R'S'T will be Q'(-32,20) , R'(-32,28) , S'(-20,28) , T'(-20,20) .
Learn more about Transformation here
https://brainly.com/question/16938631
#SPJ1
Sarah is conducting a science experiment where she initially has a population of 4 fruit flies. Every week the population triples. She writes the function f (x) = 4(3) to predict the population growth.
which rule can also model the function?
The rule that can also model the function is f(x)= 4 + 3x.
How to illustrate the information?The initial population of fruit flies = 4 and the population of fruit flies triple every week
Let x represent number of weeks
Therefore function can be modelled as:
f(x)= 4 + 3x
Now assume population grows for two weeks, using the function:
f(x)= 4 + 3x
f(2)= 4+3×2
f(2)= 10
Therefore population grows to 10 fruit flies in 2 weeks based on our function
Learn more about functions on:
https://brainly.com/question/21634682
#SPJ1
Sarah is conducting a science experiment where she initially has a population of 4 fruit flies. Every week the population triples. She writes the function f(x)=4(3)x to predict the population growth. Which rule can also model the function?
9m + 2i= 30
8m -3i= -2
Answer:-60
Step-by-step explanation:
i'm stuck pls help me
4/4
Answer: The answer 1/2(p+24)=21
Step-by-step explanation:
The answer could be found by solving each of the equations but that would have been time consuming so it is better to fine the answer through the word problem.
the sunglasses and flip flops were bought at a half-off sale, which means that each of their prices were reduced by 1/2. So the new price was 1/2 of the original price for each of the items. $21 was spent by adding the new price of both the items.
let, 1/2 of original price of sunglasses = p
therefore we get the equation,
new price for sunglasses = 1/2p
therefore
1/2p + 1/2(24) = 21
if we take 1/2 common,
1/2(p+24)=21
9x^2-(x^2-4)^2
4+3x-x^2
Multiplying the expression 9x² - (x² - 4)² . 4 + 3x - x² will give -4x⁴ + 40x² + 3x - 64
How to illustrate the information?From the information given, we want to multiply the expression 9x² - (x² - 4)² . 4 + 3x - x². This will be illustrated thus:
Distribute
9x² - (x² - 4)² . 4 + 3x - x².
9x² - (x² - 4)(x² - 4) . 4 + 3x - x².
Now we can open the parentheses. This will be illustrated as:
9x² - 2(x⁴ - 4x² - 4(x² - 4) . 4 + 3x - x³
= -4x⁴ + 40x² + 3x - 64
The value of the expression is -4x⁴ + 40x² + 3x - 64.
Learn more about numbers on:
brainly.com/question/148825
#SPJ1
Multiply the expression 9x² - (x² - 4)² . 4 + 3x - x²
Simplify the expression
3[2(x-3) + 2] + 5(x-3)
Answer: 11x-27
Step-by-step explanation:
1- 3[2x-6+2] + 5(x-3)
2- 3[2x-4] + 5x-15
3- 6x-12+5x-15
4- 11x-27
Which expression is equivalent to 5p+7p
Answer:
all those that give 12p as a result (look at the examples)
Step-by-step explanation:
Which expression is equivalent to 5p+7p
5p + 7p = 12p
4p + 8p = 12p3p + 9p = 12p6p + 6p = 12p5-(-1-2)^2 or to the power of two
And |x/x+y|-x^2+y (x=2 y=-3)
The values of the expressions are
5 - (-1 - 2)^2 = -4|x/x+y| - x^2 + y = -5How to determine the value of the expressionExpression 1
5-(-1 - 2)^2
Evaluate the difference in the expression
So, we have
5 - (-1 - 2)^2 = 5 - (-3)^2
Evaluate the exponent in the expression
So, we have
5 - (-1 - 2)^2 = 5 - 9
Evaluate the difference in the expression
So, we have
5 - (-1 - 2)^2 = -4
Expression 2
|x/x+y| - x^2 + y
When x = 2 and y = -3
Substitute x = 2 and y = -3 in |x/x+y| - x^2 + y
So, we have
|x/x+y| - x^2 + y = |2/2 - 3| - 2^2 - 3
Evaluate the difference in the expression
So, we have
|x/x+y| - x^2 + y = |2/-1| - 2^2 - 3
Evaluate the quotient and the exponent in the expression
So, we have
|x/x+y| - x^2 + y = |-2| - 4 - 3
Remove the absolute bracket
|x/x+y| - x^2 + y = 2 - 4 - 3
Evaluate the difference in the expression
So, we have
|x/x+y| - x^2 + y = -5
Hence, the solutions to the expressions are -4 and -5
Read more about expressions at
https://brainly.com/question/4344214
#SPJ1
5. 1 4/5 x 5/12 = ??????????
whats the answer
Answer:
Step-by-step explanation: the answer is .75. your welcome
the answer is 3/4 or 0.75
Austin has $100,000 in a savings account that earns 142% interest per year. The interest is
not compounded. How much will he have in total in 1 year?
The total amount received at the end of 1 year will be 242000
The amount available in Austin's saving account: $100,000
Rate of interest = 142% per year
Simple interest: Simple interest is a quick and simple formula for figuring out how much interest will be charged on loan. The daily interest rate, the principle, and the number of days between payments are multiplied to calculate simple interest.
The formula for simple interest is given:
Simple Interest = P*R*T/100
where P = principal amount invested
R = rate of interest per year
T = time in years for which the amount is invested
Substituting the values in the formula we get:
Simple interest = 100000*142*1/100
= 142000
Total amount after 1 year = Principal invested + Simple interest earned
= 100000 + 142000
= 242000
Learn more about simple interest:
https://brainly.com/question/25845758
#SPJ1
-3a²+9a²-11a²-3x² simplify
Answer:
211a+9x
Step-by-step explanation:
first, calculate the exponents (the number times itself) of each number
9a +81a +121a+9x
the reason they are positive is that a negative times a negative equals a positive ex: -3 x -3 = 9
next, combine the coefficients
starting with the variable for a
9a+81a+121a= 211a
x has no other coefficients so it would remain 9x
so the simplified answer would be
211a+9x
54 of the 72 coffee mugs at Ariana's Pancake House are dirty. What percentage of the coffee mugs at the pancake house are dirty? Write your answer using a percent sign (%).
What’s the answer plss
Answer:
d. 3.8 m
Step-by-step explanation:
The figure is omitted.
tan(70°) = h/1.4
h = 1.4 tan(70°) = 3.8
You can confirm this by drawing and labeling a right triangle.
Additionally, make sure your calculator is in degree mode.
30 POINTS I need it quick with an explanation
The unit rate of the graph is is inches per hour
How to find unit rates of graphsA graph will hold as many information as the plotter will wish to give it. The information the graph has the more compicated wit will be
The graph plotted is a graph of snowfall in inches against time in hours. The input values of the graph is the time in hours while the snow fall in inches is the output values
The unit rate of graphs is gotten from the the units plotted against the other unit. Here it is inches against hours
Learn more about units of graphs here: https://brainly.com/question/28066489
#SPJ1
What is the solution to the equation below?
5 + (10 × 8) ÷ 5 - 7 = ?
Error Analysis On a math test the students are guvena right triangle. One of the acute angles has a measure of 33°. One student saha tbe measure kf the other acute angle is 147°. What is the measure of the other acute triangle?
What error might the student have made?
Error might the student have made was in angle 147 as acute angle means angle less than 60°
What is acute angle ?Acute angles are those that range in size from 0 to 90 degrees and are smaller than 90 degrees. Examples include 60, 30, 45, and other angles. An acute triangle is a triangle with all of its internal angles smaller than 90 degrees. An equilateral triangle, for instance, is an acute triangle because the internal angles are 60°.
Less than 90° of an angle is referred to be an acute angle. An acute angle, for instance, is formed when the time is 11 o'clock between the hour hand and the minute hand. Consequently, acute angles include 30°, 40°, 57°, and others.
Given that : The students are guvena right triangle. One of the acute angles has a measure of 33°. One student saha tbe measure kf the other acute angle is 147°.
As the acute angles are angles less than 90°
and they have measure as 147°
So the error was in measure angle as 147°
To learn more about acute angle visit :
brainly.com/question/10334248
#SPJ13
Harmonie bought four packages of school supply kits. Each kit had school supplies and a backpack. The school supplies in each kit cost $18. She spent a total of $130 for all four kits. How much did each backpack cost?
Linear equations - each backpack costs $14 and 5 cents .
What are linear equations with one variable?
A linear equation is a one-variable equation of a straight line. The variable only has one power, which is 1. Simple algebraic operations are used to solve linear equations in one variable, which can have the form ax+b=0.
First, we categorise one-variable linear equations into one of three categories: identity, conditional, or inconsistent. The variable's identity equation holds true for all possible values.
let us assume that the backpack costs $x.
We are informed that each kit included a backpack and school supplies totaling $18.
there are 4 school supply kits in total,
according to the above conditions we have,
4(18+x)
we are also given that she spent a total of $130, thus,
4 (18+x) = 130
72 + 4x = 130
4x = 130 - 72
4x = 58
dividing both the sides with 4,
x = 58/4
thus, x = 14.5
therefore each backpack costs $14 and 5 cents
to learn more about linear equations check out:
https://brainly.com/question/2030026
#SPJ9
A car travels a distance of 2.6 kilometers.
What is this distance in meters?
10 millimeter (mm) =1 centimeter (cm)
100 cm =1 meter (m)
1000 m =1 kilometer (km)
CLEAR CHECK
meters
Answer:
2600 meters
Step-by-step explanation:
2.6x1000
help me pls asap!! it’s pass due!
Simplify the expression and rationalize the denominator.
Answer: C
Step-by-step explanation:
First, take the square root of both the numerator and denominator. The numerator would then be equal to 6 a^4 b^2 and the bottom would just be sqrt7c. Since you still have a sqrt in the denominator, rationalize the fraction by multiplying sqrt7c to both the numerator and denominator to get rid of the sqrt. This would leave you with answer choice C.
Answer:
[tex]\frac{6a^4b^2\sqrt{7c}}{7c}[/tex]
Step-by-step explanation:
You can distribute radicals across division such that: [tex]\sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}[/tex]
So you get the expression: [tex]\frac{\sqrt{36a^8b^4}}{\sqrt{7c}}[/tex]
Similarly with division, you can distribute radicals across multiplication such that: [tex]\sqrt{ab}=\sqrt{a}*\sqrt{b}[/tex], and you can do this multiple times
So our expression on top becomes: [tex]\frac{\sqrt{36}*\sqrt{a^8}*\sqrt{b^4}}{\sqrt{7c}}[/tex]
Whenever we take the square root of a base to an exponent, we simply divide the exponent by two. In general if you take the "nth" root of any base to an exponent, you divide the exponent by n, since: [tex](x^a)^b=x^{a*b}[/tex] and radicals such as: [tex]\sqrt[n]{x}=x^{\frac{1}{n}}[/tex], so you're just multiplying the two, which results in a division of "n" which in this case is 2.
So the square root of a^8 simplifies to a^4 after dividing the exponent by 2, which makes since: [tex]a^4*a^4=a^{4+4}=a^8[/tex] which exemplifies the very definition of a square root.
Applying this same logic to b^4 and just simplifying sqrt(36) regularly we get the following expression:
[tex]\frac{6a^4b^2}{\sqrt{7c}}[/tex]
We generally don't want square roots in the denominator, so we rationalize it by multiplying by the sqrt(7c)/sqrt(7c) which just simplifies to one, so we're not actually changing the value but it removes the sqrt(7c) from the denominator
[tex]\frac{6a^4b^2}{\sqrt{7c}} *\frac{\sqrt{7c}}{\sqrt{7c}}\\\\\frac{6a^4b^2\sqrt{7c}}{7c}[/tex]
and this turns out to be our solution!
A server earns a dollars per hour at a restaurant in addition to tips. If during a 6-
hour shift, the server earns $164.50 in tips, what is the minimum amount the
must earn per hour to make at least $184 total during the shift, in dollars and cents?
server
Answer: $3.25 an hour.
Step-by-step explanation: If the server wants to make 184 dollars and they already made 164.50, you subtract 184 by 164.50. 184-164.50= 19.50
That is how much the server made without tips over the course of 6 hours, and we want the amount they made in 1 hour. So we now divide 19.50 by 6. 19.50/6=3.25
$47,000 invested for 50 years at 10% compounded annually $47,000 invested for 50 years at 5% compounded monthly
Answer: $47,000 at 10% annually is ≈ $77,297.70 and $47,000 at 5% monthly is ≈ $569,611.01
Step-by-step explanation:
Use the compound interest formula. A=P(1+r/n)^nt
the survival times of guinea pigs inoculated with an infectious viral strain vary from animal to animal. the distribution of survival times is strongly skewed to the right. the central limit theorem says that
The correct option regarding the central limit theorem is given as follows:
The average survival time of a large number of guinea pigs has a distribution that is close to normal.
What does the Central Limit Theorem state?It states that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean given by [tex]\mu[/tex] and standard deviation given by [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, as is the case in this problem, the sampling distribution is also approximately normal, as long as n is at least 30.
For this problem, we have that the distribution is strongly skewed, hence it will only be normal for large sample sizes, and the last option is correct.
What is the missing information?The options are given by the image at the end of the answer.
More can be learned about the central limit theorem at https://brainly.com/question/18403552
#SPJ1