The change in temperature in each hour would be = -7 degrees/ hour
What is temperature?Temperature is defined as the degree of how hot or cold a body is which can be measured in degree Celsius or degree Fahrenheit.
As the individual passed through Denver the time for total temperature change = 6 hours.
The total temperature changes = -42 degrees
If 6 hours = -42 degrees
1 hour = × degrees
make X the subject of formula;
X = -42/6
X = -7 degrees/hour
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a tank holds 2000 liters of water in which 400 grams of salt have been dissolved. saltwater with a concentration of 1 grams/liter is pumped in at 2 liters/minute and the well mixed saltwater solution is pumped out at the same rate. write initial the value problem for:
The initial value problem for the concentration of salt in the tank over time will be: dc/dt = [(1 g/L * 2 L/min) - (c * 2 L/min)] / 2000 L
An initial value problem (IVP) in multivariable calculus is an ordinary differential equation with an initial condition that determines the value of the unknown function at a specific location in the domain. In physics or other sciences, modelling a system typically entails addressing an initial value issue.
Let's call the concentration of salt in the tank "c" (in grams/liter).
The initial concentration of salt in the tank is: c(0) = 400 / 2000 = 0.2 g/L
The rate of change of concentration with time "t" (in minutes) can be represented as:
dc/dt = (inflow rate of saltwater - outflow rate of saltwater) / volume of tank
dc/dt = [(1 g/L * 2 L/min) - (c * 2 L/min)] / 2000 L
This is the initial value problem for the concentration of salt in the tank over time.
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Joseph has a bag filled with 3 red, 3 green, 9 yellow, and 10 purple marbles. Determine P(not yellow) when choosing one marble from the bag. 8%
24%
36%
64%
The probability of not getting purple marble will be 64%. Then the correct option is A.
What is probability?
Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.
Then the probability is given as,
P = (Favorable event) / (Total event)
Joseph has a bag filled with 2 red, 4 green, 10 yellow, and 9 purple marbles.
The total number of marbles is given as,
Total marbles = 2 + 4 + 10 + 9
Total marbles = 25
Then the probability of not getting purple marble will be given as,
P = 1 - 9 / 25
P = 1 - 0.36
P = 0.64
P = 64%
Hence, The probability of not getting purple marble will be 64%. Then the correct option is A.
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Find the amount of interest earned between time t and time n, where t
If the sum of $5000 is invested at rate of 5% per annum simple interest for 2 years then the amount of interest is $500 .
The amount of interest earned for a sum invested at a rate of 5% per annum simple interest for 2 years can be calculated using the formula:
Interest = (P × R × T)/100 ;
Where: I = interest , P = principal (initial sum invested) = $5000
r = interest rate = 5% ; t = time = 2 years
Substituting the values into the interest formula, we get:
Interest = (5000 × 5 × 2)/100
On simplifying , we get Interest is = $500 .
Therefore, the amount of interest earned is $500.
The given question is incomplete , the complete question is
Find the amount of interest earned for time = 2 years , when the sum of $5000 is invested at rate of 5% per annum simple interest ?
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the ends of a water trough are 8 feet long are equilateral triangles whose sides are 2 feet long. if water is being pourd into the trough at a rate of 5 ft^3 / min, find the rate at which the water level is rising when the depth is 8 inches
If water is being poured into the trough at a rate of 5 ft^3/min, the rate at which the water level is rising when the depth is 8 inches is 15√3/32 ft/min.
Length (L) = 8 feet
Side = 2 feet
If water is being poured into the trough at a rate of 5 ft^3/min. So
dV/dt = 5 ft^3/min
The depth is 8 inches.
h = 8 inches = 2/3 feet
The formula of volume (V) = √3/4 b^2 · L
Now putting the value
V = √3/4 b^2 · 8
Simplify
V = 2√3b^2
Using the Pythagorean Theorem
b/h = 2/√3
So b = 2/√3 h
Now putting the value of h in the volume V
V = 2√3(2/√3 h)^2
V = 2√3 × 4/3 × h^2
V = 8/√3 × h^2
Differentiating the equation with respect to t
dV/dt = 8/√3 d/dt(h^2)
dV/dt = 8/√3 × 2h dh/dt
dV/dt = 16h/√3 × dh/dt
As dV/dt = 5. So
5 = 16h/√3 × dh/dt
Multiply by √3 on both side, we get
16h dh/dt = 5√3
Divide by 16h on both side, we get
dh/dt = 5√3/16h
As h = 2/3. So
dh/dt = 5√3/(16×2/3)
After solving
dh/dt = 15√3/32 ft/min
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Ron has a bag of marbles that contains blue, orange, and green marbles. The ratio of blue to orange to green is 4:2:1 . If the bag contains 8 blue marbles, ______marbles are green.
Using ratios, There are total 4 green marbles.
Ratio -If b is not equal to 0, an ordered pair of numbers, a and b, expressed as a / b, is a ratio. A proportion is an equation that balances two ratios. As an illustration, the ratio could be expressed as follows: The ratio is 1:3 if there is 1 boy and 3 girls. (There are three girls for every one boy) Only one in four men are male, with three out of four being female.
In mathematics, a ratio shows how frequently one number appears in another. For instance, the ratio of oranges to lemons on a fruit platter would be eight to six if there were eight oranges and six lemons.
Given,
The ratio of blue to orange to green is 4:2:1 ,
bag contains 8 blue marbles,
green marbles = 2x = 8
x = 4
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5
�
2
+
23
�
=
5x
2
+23x=
13
�
−
10
13x−10
Answer:
I'm sorry, but I am not sure what you are asking or what this series of numbers and symbols represents. Can you please provide more information or context for me to understand your question?
Find the value of each variable (please very urgent!!)
Answer: x=7[tex]\sqrt{3}[/tex] and y = 14
Step-by-step explanation:
Please Help! I Have Limited Time! A student is measuring the length of an icicle, y, every hour, x. The icicle is currently 9 inches long and is melting at a rate of 0.6 inches per hour. Find and interpret the slope for this relationship.
A. 9; the length of the icicle when the student first measures it
B. −9; the length of the icicle when the student first measures it
C. 0.6; for every additional hour, the length of the icicle increases by 0.6 inches
D. −0.6; for every additional hour, the length of the icicle decreases by 0.6 inches
Slope of relationship between length of icicle and time = −0.6;
for every additional hour, the length of the icicle decreases by 0.6 inches
The correct option is D.
What is slope?The slope of a line is defined as the change in vertical coordinate with respect to the change in horizontal coordinate of that line.
Given,
A student is measuring the length of an icicle, y, every hour, x
At present icicle is 9 inches long
melting at rate of 0.6 per hour
y = 9 - 0.6 x
Where y is the length of the icicle after x hours
comparing with slope intercept form of line: y = m x + c
slope m = -0.6
Hence, - 0.6 is the slope, represents that the length of the icicle decreases by 0.6 inches every hour.
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please help me with this question
We can see that:
1. Given
2. Definition of supplementary angles
3. Substitution Property of Equality
4. Subtraction Property of Equality
5. If two angles have the same measure, then they are congruent.
What is an angle?In mathematics, an angle is a measure of the amount of rotation between two lines or planes. It is typically measured in degrees or radians, and can be represented symbolically using the Greek letter theta (θ). An angle can be acute, right, obtuse, or reflex, depending on the degree of rotation. It can also be formed by the intersection of two lines or by the rotation of a line about a point.
Angles are commonly used in geometry and trigonometry to measure and describe the relationships between shapes and figures.
We see here that the above answers are correct.
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Ram obtained 85% mark out of 800 full mark in a examination. How many mark did he obtain?
Ram obtained 680 marks in his examination.
We have to use the concept of percent-to-decimal conversion to solve this problem.
Ram scored 85% of the total marks, which was 800 of the total. To find the number of marks he obtained, we have to multiply 800 by 85% (0.85).
85% is equivalent to 0.85 when expressed as a decimal. To find the number of marks Ram obtained, we have to multiply the total marks (800) by 0.85,
After multiplying 800 * 0.85 = 680 marks.
So the marks obtained by Ram in his examination are 680.
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[PLEASE HELP FAST!! WILL GIVE BRAINLIEST]
Which of the following is an arithmetic sequence with a common difference of +3?
Answer: Option D
Step-by-step explanation: to find the common difference, you'll subtract:
From the sequence 4, 7, 10, 13, ...
d (common difference) = (7 - 4) or (10 - 7) or (13 - 10)
= 3
why would mars not put equal amounts of each color in every bag؟
As per the proportion the reason behind equal amounts of each color in every bag has the proportion less than the other colors.
The term called proportion is defined as an equation that defines that the two given ratios are equivalent to each other
Here we know that they may not put equal amount of colors because they put the 2 most popular colors in the bag.
Because of the the popular colors of bag were Blue and Orange. Here as per the proportion of other color bags are less than that of blue and orange.
This is the real reason behind the Mars put more amount in more popular colors and less amount in less popular colors.
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In which set are all the numbers solutions to the inequaltiy x < - 3?
Answer:
The solution fo the inequality x < -3 will be {-83, -6, -4, -3.5}. Then the correct option is C.
What is inequality?
Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The inequality is given below.
x < -3
The value of the variable 'x' should be less than negative 3.
In option A, zero is greater than -3. So, option A is incorrect.
In option B, 1 is greater than -3. So, option B is incorrect.
In option D, -3 is equal to -3. So, option D is incorrect.
The arrangement of the imbalance x < - 3 will be {-83, - 6, - 4, - 3.5}. Then, at that point, the right choice is C.
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Step-by-step explanation:
Help me please I need this problem answered
Step-by-step explanation:
-5/8 = v + 48/8
-53/8 = v
-6 5/8 = v
1. If i made12cookies in 30 minutes how long would it take to make 60 cookie. # helpp meee
Answer:
2 hours and 30 mins
Step-by-step explanation:
is 12 cookies made = 30 mins
then times both sides by 5
then,60 cookies made= 150 mins or 2 hours and 30 mins.
Answer:
150 min = 2,5 hours
Step-by-step explanation:
12 cookies ....... 30 min
1 cookie ........ 30/12 = 2,5 min
60 cookies ...... 2,5 * 60 = 150 min
x y
1 6
4 15
6 21
Which rule describes the relationship between the x- and y-coordinates in the following table?
Answer:
415
Step-by-step explanation:
4.15 ×
[tex]4.15 \: \times {10}^{2} [/tex]
find the value of z if z satisfies p( -z < z < z) = 0.7372.
The value of z that satisfies the condition p(-z < z < z) = 0.7372 is 0.8614.
Given: p(-z < z < z) = 0.7372
We are trying to find the value of z that satisfies the above condition.
The given condition p(-z < z < z) means that the value of z lies in the interval (-z, z) such that the probability of this interval is equal to 0.7372.
To find the value of z, we need to use the properties of normal distribution.
If X is a standard normal random variable, then the cumulative distribution function (CDF) of X, denoted by Φ(x), is given by:
Φ(x) = P(X ≤ x) = 1/√2π ∫-∞x e^-t^2/2dt
So, for the given condition, we have:
p(-z < z < z) = Φ(z) - Φ(-z) = 0.7372
We can use a standard normal table or a calculator with the cumulative normal distribution function to find the value of z that satisfies the above equation.
After using the cumulative normal distribution function, we find that z = 0.8614.
Therefore, the value of z that satisfies the condition p(-z < z < z) = 0.7372 is 0.8614.
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Which of the graphs below represents a sketch of:
Answer:
C
the answer is C, the third graph
Brody and his friends buy a jumbo bag of Millicent's Mini Donuts at the fair. They sit at a picnic table to share them. Brody evenly distributes the donuts onto 13 napkins, one for each person in the group. Each napkin has 4 donuts
LITTLE HELP HERE?
Which set of ordered pairs (x, y) could represent a linear function?
The set of ordered pairs of A and C represents a linear function.
What is linear function?The graph of a linear function is a straight line. The following is the form of a linear function.
a + bx = y = f(x).
One independent variable and one dependent variable make up a linear function. x and y are the independent and dependent variables, respectively.
Given ordered pairs:
A (-2,8) (0,4) (2,3) (4,2)
B (1,2) (1,3) (1,4) (1,5)
C (-2,7) (0,12) (2,17) (4,22)
D (3,5) (4,7) (3,9) (5,11)
The definition of a linear function is the relationship between input and output values.
Range refers to the set of output values, and domain refers to the set of input values.
The fact that an input value cannot have two different output values is the most significant attribute of functions (which defines them). Having stated so, observe how sets B and D include pairings that defy this rule.
Therefore, since each input value only produces one output value, the correct solutions are A and C.
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The complete question:
Which set of ordered pairs X Y could represent a linear function of x
A (-2,8) (0,4) (2,3) (4,2)
B (1,2) (1,3) (1,4) (1,5)
C (-2,7) (0,12) (2,17) (4,22)
D (3,5) (4,7) (3,9) (5,11)
Find the solution to the system of equations.
X + 4y- 5z = -6
X + 4y-4z=-2
X + 5y-4z= 1
O A. x = 2, y = 4, z = 5
O B. x = 2, y = 3, z= 4
O C. x = 5, y = 11, z = -12
O D. x= 5, y = 5, z= 3
Answer:
B
Step-by-step explanation:
First you are going to have to solve for one of the variables in the terms of the other two. The easiest one of these to start with is x.
If you take the first equation, x+4y-5z=-6 and solve for x you get
x=5z-4y-6
Now you can plug that into another equation and solve for another one of the variables. Lets use equation #2. Plugging in the definition of x into the equation you get;
(5z-4y-6)+4y-4z=-2
Simplify
z-6=-2
Conveniently, the y terms cancelled out. And therefore we know
z=4
(From there, we can determine that B is the right answer because it is the only one that gives z=4. I will walk you through the rest of the answer though)
Taking our new value of z, we can pug that value into our original x equation yielding;
x=20-4y-6
simplify
x=14-4y
Using this information, we can plug it into equation #3
(14-4y)+5y-16=1
simplify
y-2=1
solve
y=3
Now we just plug the new values of y and z into the first equation to get the value of x.
x+12-20=-6
simplify
x-8=-6
solve
x=2
Therefore;
x=2
y=3
z=4
A central angle measuring 90° Intercepts an arc in a circle whose radlus is 8.
What Is length of the arc of the circle formed by this central angle? Round the length of the arc to the nearest hundredth
of unit.
length of the arc of the circle formed by this central angle is 12.56 units.
What is arc length?The formula for calculating arc length is used to determine the length of the arc's curved line (a segment of a circle). The arc length is, to put it simply, the distance that passes across the curved line of the circle that forms the arc. Arc stability, weld current, and part concentricity are all factors that affect arc length. Arc stability, weld current, and part concentricity are all factors that affect arc length. The commercial welder's job in this situation is to maintain the electrode at a specific distance from the surface so that there is adequate room to prevent stubbing out.
Since, the length of an arc on a circle is:
l = r × θ
Where, r is the radius of the circle and is the central angle ( in radian ) made by the arc,
Here,
r = 8 unit,
θ = 90° = 90 × (π/180) = π/2
( π radian = 180°)
Hence, the length of the given arc is,
l = 8 × (π/2)
l = 4π
l = 12.56 units
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WILL GIVE BRAINLIEST! HELP FAST!
Write the equation of the sinusoidal shown below.
The sine function graphed is defined as follows:
y = sin(2x) + 2.
How to define the sine function?The sine function for this problem is defined as follows:
y = Asin(Bx) + C.
For which the parameters are given as follows:
A is the amplitude.The period is of 2π/B.C is the vertical shift.The difference between the highest and the lowest value of the function is of 3 - 1 = 2, hence the amplitude is obtained as follows:
2A = 3 - 1
2A = 2.
2A = 1.
The period is of π, hence the coefficient B is given as follows:
2π/B = π
B = 2.
A function with amplitude 1, with no vertical shift, would oscillate between -1 and 1, while this function oscillates between 1 and 3, hence the vertical shift C is given as follows:
C = 2.
Hence the function is defined as follows:
y = sin(2x) + 2.
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what equation represents the line that passes through points (1,-5) and (3, -17)
The equation of the line passing through the points (1,-5) and (3, -17) is y = -6x + 1.
What is the slope of the line?The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
Points are (1,-5) and (3, -17)
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
m = -17 + 5 / 3 - 1
m = -6
The equation of the line is given as
y - y₁ = m (x - x₁)
y + 5 = -6 (x -1)
y = -6x + 1
Thus, the equation of the line passing through the points (1,-5) and (3, -17) is y = -6x + 1.
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Find the sides of all 4 questions
******* 20 points for each answer *****
Needed now
**Don’t mind the bonus 20**
Thank youand the work pls if not that’s ok
Answer:
see below
Step-by-step explanation:
1: 180-90-45 =45
2. 180-90-26 = 64
3. 180-90-60 =30
Answer:
Step-by-step explanation:
1) tan45 = x/10
x = 10(tan45) = 10
cos45 = 10/y
y = 10/(cos45) = 14.14
2) cos26 = 8/x
x = 8/cos26 = 8.9
3) sin60 = y/12
y = 12(sin60) = 10.4
cos60 = x/12
x = 12(cos60) = 6
4) Draw a line from top of triangle straight down and perpendicular to the 15 leg, label it z. This divides the 15 leg into 2 segments: y and (15-y).
cos89 = y/12
y = 12(cos89) = 0.21
sin89 = z/12
z = 12
15 - 0.21 = 14.79
Now you can solve for x:
x² = 14.79² + 12²
x = [tex]\sqrt{362.74}[/tex] = 19
what is the finest grain property in statistics
The finest-grain property simply means that all possible distinguishable outcomes are identified separately in probability statistics.
The requirement that outcomes be mutually exclusive says that if one outcome occurs, then no other outcome also occurs.
An outcome is often called a finest grain result of the model in the sense that an outcome ω contains no subsets other than the empty set ϕ and the singleton subset {ω}. A sample space is a set of all the possible outcomes or sample points, denoted as Ω. An outcome ω is often called a finest grain result when even {ω} contains no proper subsets. The outcomes in the sample space are mutually exclusive and collectively constitute the entire sample space.
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4(7a) multiply and find the answer
Answer:
[tex]28a[/tex]
Step-by-step explanation:
Usually, the parenthesis in an expression = a(bc) indicates multiplication.
Similarly, in 4(7a) we multiply -
4*7a = [tex]28a[/tex]
Hence the answer, study Hard
A department tore buy 200 hirt at a cot of $2400 and ell them at a elling price of $20
each. Find the percent markup
The percent markup is 66.67%.
The markup is the difference between the cost price and the selling price of a product, expressed as a percentage of the cost price.
Let's call the cost price of each shirt "cp". Then, the total cost price of 200 shirts would be 200 * cp.
The selling price of each shirt is $20, so the total revenue from selling 200 shirts would be 200 * $20 = $4000.
From the information given, we know that the total cost price of 200 shirts is $2400.
Therefore, we can set up the following equation to find the cost price of each shirt:
200 * cp = $2400
Dividing both sides by 200, we get:
cp = $12
The markup is the percentage increase from the cost price to the selling price, so it can be calculated as follows:
Markup = (Selling Price - Cost Price) / Cost Price * 100%
= ($20 - $12) / $12 * 100%
= 66.67%
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A goat is placed in a circular pen with a radius of 15 feet. The formula for the area of a circle is A=πr2, where r is the radius. If π=3.14, on how many square feet of grass can the goat graze in the pen?
Answer:
765 [tex]ft^{2}[/tex]
Step-by-step explanation:
A = [tex]\pi r^{2}[/tex]
A = (3.24)[tex]15^{2}[/tex] [tex]15^{2}[/tex] means 15 x 15
A = (3.14(15)(15)
A = 765
if the radius of the wheel is 21 cm what is the distance traveled by the wheel in 3 revolution
Answer:
396 cm
Step-by-step explanation:
You want the distance traveled by a wheel of radius 21 cm in 3 revolutions.
CircumferenceThe circumference of the wheel is ...
C = 2πr
C = 2π(21 cm) = 42π cm
RevolutionsIn 3 revolutions of the wheel, it travels 3 times that distance, or ...
3(42π cm) = 126π cm ≈ 396 cm
The distance traveled is about 396 cm.
__
Additional comment
The value shown is rounded to the nearest centimeter. The attachment shows the value to higher precision, for the usual approximations of pi.
<95141404393>