Answer:
27 x k = h^2 - 9
Step-by-step explanation:
Find the measure of the angle
Answer:
155°
Step-by-step explanation:
The angle between the x and y axes is 90°
The required angle = 90° + 65° = 155°
Answer:
Well, y is 90˚ and another angle is 65˚ that means that the unknown angle must be 25˚
Step-by-step explanation:
y = 3x + 5
y = 4x2 + x
Answer:
8x and 4x(2) + 5
Step-by-step explanation:
It doesn't make sense but I am pretty sure this is correct
Chris and Kate’s dinner bill, including a 20% tip, is $95.40. What was the amount of the bill before the tip?
Enter your answer in the box.
Answer:
$79.5
Step-by-step explanation:
95.40= 120%
1%= 95.40/120
1%=0.795
100%=79.5
Select all the situations that can be modeled with an equation.
please help!!
The situations that can be modeled with an equation include the following:
A. The sale price of a television is $125 off of the original price.
C. Marco spent twice as much as Owen.
E. Ben paid a total of $75 for a shirt and a pair of shoes.
What is an equation?In Mathematics and Geometry, an equation can be defined as a mathematical expression which shows that two (2) or more thing are equal. This ultimately implies that, an equation is composed of two (2) expressions that are connected by an equal sign.
Assuming the variable x represent the independent variable and y represents the dependent variable, we have the following equations;
"The sale price of a television is $125 off of the original price."
y = x - 125
"Marco spent twice as much as Owen."
y = 2x
"Ben paid a total of $75 for a shirt and a pair of shoes."
x + y = 75
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Complete Question:
Select all the situations that can be modeled with an equation.
The sale price of a television is $125 off of the original price.
Anna gave away 5 hats.
Marco spent twice as much as Owen.
Susan earns $25 per day for d days.
Ben paid a total of $75 for a shirt and a pair of shoes.
Marty, Doc, and Einstein are all traveling very fast in
their cars. Marty and Doc's position over time are
shown below in the tables. Einstein only collected two
data points during his trip; after 3 hours he travelled
240 miles and after 4 hours he travelled 320 miles.
Who drove the fastest? Show work. Explain on the
lines below.
Answer:
Doc drove the fastest.
Step-by-step explanation:
The first thing you want to do is figure out how many milese they are traveling per hour. We know that Einstein has these two time stamps (hour/miles) ; 3/240 and 4/320.
so divide the hour by the number of miles:
3÷240=80
just to make sure I did the four hour one as well;
4÷320=80
Do the same thing for doc and marty!
Doc4÷340=85
Marty4÷100=0.04
The answer that you get from the division problems is the number of miles that they travel each hour.
Hope this helps!
Point M is the midpoint of AB. Find BM.
since we know that M is the midpoint of the AB segment, that simply means that the two halves it makes are congruent, namely AM = BM.
\(\stackrel{AM}{4x+13}~~ = ~~\stackrel{BM}{3x+17}\implies x+13=17\implies x=4~\hfill \stackrel{3(4)~~ + ~~17}{BM=29}\)
The required length of the side BM is 29.
What is algebra?Algebra is a study of mathematical expressions, in which numbers and quantities are represented in formulas and equations by letters and other universal symbols.
In the given question,
Point M is the midpoint of line AB.
AM = 4x + 13,
and BM = 3x + 17
To find the length of MB, use midpoint property.
Since, Point M is the midpoint of AB,
Therefore, AM = MB
4x + 13 = 3x + 17
4x - 3x = 17 - 13
x = 4
The length of MB = 3x + 17 = 3 × 4 + 17 = 12 + 17 = 29.
The length of MB, where M is midpoint of AB, is 29.
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abcde ~ ghjdf. complete the statements. ∠ h ≅ □ g h d j = a b □
Answer:
∠H ≅ ∠B
GH/MD = AB/1
Step-by-step explanation:
∠H ≅ ∠B
GH/MD = AB/1
The first statement is true because corresponding angles of similar figures are congruent. The second statement is true because the ratio of corresponding sides of similar figures is equal.
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Mr. Crawford is ordering pizzas and breadsticks for a school pizza party and has a budget of $81, but no more. An order of breadsticks costs $7 and a pepperoni pizza costs $13.
Write an inequality that represents the above situation if x represents the number of bread sticks and y represents the number of pizzas.
Group of answer choices
x+y<81
x+y<20
7x+13y≥81
7x+13y≤81
Answer:
Step-by-step explanation:
In Bayes Theorem, you have some starting information, then you collect some new information so that you can _______ the original probabilities so you now have better information.
In Bayes Theorem, apart from the already starting information, some new information so that you can update or transform the original probabilities so you now have better information.
What is Bayes Theorem?
The Bayes' theorem was named after Thomas Bayes and it is used in probability theory and statistics as one of the fundamental theorems. It estimates the likelihood of an event based on knowledge of circumstances that might be connected to it in the past.
The Formula for Bayes' Theorem
The Bayes' theorem is given as,
P(A|B) = P(A).P(B|A) / P(B)
Here, for two events A and B,
P(A|B) is the probability for likelihood of A when B is true
P(B|A) is probability for likelihood of B when A is true
P(A) is the independent probability of event A
P(B) is the independent probability of event B
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How are rational numbers created
Answer:
A Rational Number can be made by dividing an integer by an integer. (An integer itself has no fractional part.)
What is the supplement of ∠A if m∠A = 78°?
Answer:
The supplement is 102
Step-by-step explanation:
Supplementary angles add to 180 degrees
Let x be the supplement
x+ 78 = 180
subtract 78 from each side
x+78-78 = 180-78
x = 102
Answer:
102
Step-by-step explanation:
What is 45+72/6*4+3+17+99-45/8?
Answer:
206.375
Step-by-step explanation:
45+72/6 * 4 = 45 + 48 = 93
93 + 3 = 96
96 + 17 +113
113 + 99 = 212
212 - 45/8 = 206.375
PLEASE HELP ME OUT I WILL GIVE BRAINLIEST
Perform the following conversions using unit fractoring
4.2 L = _____cm ^3
0.35 km = ______ m
Answer:
4.2L=4200^3<this one Is a I think
0.35km=350m<This one ik
Step-by-step explanation:
Consider a reservoir with a volume of 8 billion cubic feet (ft3) and an initial pollutant concentration of 0.25%. There is a daily inflow of 500 million ft3 of water with a pollutant concentration of 0.05% and an equal daily outflow of the well-mixed water in the reservoir.
Required:
How long will it take to reduce the pollutant concentration in the reservoir to 0.10%?
It will take approximately 16 days to reduce the pollutant concentration in the reservoir from 0.25% to 0.10%.
To determine the time it takes to reduce the pollutant concentration in the reservoir, we need to consider the daily inflow and outflow of water. The reservoir has an initial volume of 8 billion ft3 with a pollutant concentration of 0.25%.
Each day, there is an inflow of 500 million ft3 of water with a pollutant concentration of 0.05% and an equal daily outflow. This means that 500 million ft3 of water with a pollutant concentration of 0.05% is leaving the reservoir each day.
To calculate the time it takes to reduce the pollutant concentration to 0.10%, we need to determine the total volume of water with a pollutant concentration of 0.05% that needs to leave the reservoir. The difference between the initial pollutant concentration (0.25%) and the desired concentration (0.10%) is 0.15%.
Since the outflow is equal to the inflow, the daily outflow of water with a pollutant concentration of 0.05% is 500 million ft3. It will take approximately (0.15 / 0.05) * 16 = 3 * 16 = 48 days to remove all the water with a pollutant concentration of 0.05%. Therefore, it will take approximately 16 days to reduce the pollutant concentration in the reservoir to 0.10%.
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which expression has the same value as negative -Y-4?
Answer:
?
(is there suppose to be more numbers?)
Step-by-step explanation:
In parallelogram FGHJ
9x + 7
Verbal
Expression
Solve the inequality. g + 6 > 5
Answer:
g > -1
Step-by-step explanation:
g + 6 > 5
You want g alone on the3 left side.
6 is being added to g, so subtract 6 from both sides of the inequality.
g + 6 - 6 > 5 - 6
g > -1
Which is one reason why this expression is equal to 0?
Answer:
The first card is the answer to your problem! Hopes this helps!;)
Answer:
Becuase
Step-by-step explanation:
-5.62 +5.62 is 0. 0 divided b7 5.62 is 0. 8.29 times 0 is 0
in the some important for of the image below about , some have more details available when you click on them Drag and drop each corresponding area it identities in the image
Vertex Form of a quadratic equation
A quadratic equation has the vertex form:
\(y=a(x-h)^2+k\)Where (h,k) is the vertex of the parabola and a is the leading coefficient.
If a is positive, the parabola is concave up, if a is negative, the parabola is concave down.
We'll identify each graph with a number so we can relate them with their corresponding equation.
Graph 1. Has the vertex at (-5,7) and opens up. The equation of this parabola (for a=1) is:
\(y=(x+5)^2+7\)Graph 2 has the vertex at (5,7) and opens up. The equation is:
\(y=(x-5)^2+7\)Graph 3 has the vertex at (5,-7) and opens up. The equation is
\(y=(x-5)^2-7\)Graph 4 has the vertex at (5,-7) and opens down. The equation is
\(y=-(x-5)^2-7\)Graph 5 has the vertex at (-5,-7) and opens up. The equation is
\(y=(x+5)^2-7\)Finally, graph 6 has the same vertex as graph 5 and opens up also, but it grows much faster than that one. The difference is that the leading factor is greater than one. This corresponds to the equation
\(y=6(x+5)^2-7\)The image below shows the correspondence between the graphs and their equations labeled with numbers.
A mall cube ha the volume hown. It ide length i 3. 5 in. Le than a econd, larger cube. What i the volume of the larger cube?
Volume:85 in^3
The large cube has a length of 7 inches each side and it's volume is 343 cubic inches.
Given,
The length of the small cube, a = 3.5 inch
The length of large cube = 2a = 2 × 3.5 = 7 inches
Now,
We have to find the volume of large cube
Volume;-
The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.
Here,
Volume of cube = a³
Volume = 7³ = 343 cubic inches
That is,
The length of side of the large cube is 7 inches and the volume of large cube is 343 cubic inches.
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Given question is incomplete. The completed question is;
A small cube has a length of 3.5 inch. The length of large cube is twice the small cube. Find the volume of the large cube.
If one item cost $0.79 and I paid $3.16 at the register, how many items did I buy
Answer:
You bought 4 items.
Step-by-step explanation:
3.16 divided by 0.79 = 4
Answer:
You bought 4 items because 0.79 x 4 = 3.16
Step-by-step explanation:
Find the average rate of change from 2 to 5 using the graph pictured.
graph
The average rate of change of the function from x = 2 to x = 5 is given as follows:
0.
How to obtain the average rate of change?The average rate of change of a function is given by the change in the output of the function divided by the change in the input of the function.
From this problem, we have that both at x = 2 and at x = 5, the function crosses the graph in the same value, hence the change in the output is given as follows:
0.
The change in the input is given as follows:
5 - 2 = 3.
Hence the average rate of change is given as follows:
0/3 = 0.
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Which unit is the largest?
kiloliter
liter
hectoliter
centiliter
Answer:
kiloliter
Step-by-step explanation:
10 hectoliters fit in one kiloliter
the boxplot shows the fuel economy ratings for 67 subcompact cars with the same model year. some summary statistics are also provided. the extreme outlier is an electric car whose electricity usage is equivalent to 112 miles per gallon. if that electric car is removed from the data set, how will the standard deviation be affected? the iqr?
The IQR measures the spread of the middle 50% of the data.
Without knowing the actual values of the fuel economy ratings or the summary statistics, we cannot provide an exact answer. However, we can make some general observations about the effects of removing an extreme outlier on the standard deviation and the interquartile range (IQR).
First, the standard deviation measures the spread of the data around the mean. Removing an extreme outlier that is far from the mean could potentially decrease the standard deviation, as the remaining values may be more tightly clustered around the mean. However, the effect on the standard deviation will depend on the exact values of the data points and how much they vary from the mean.
Second, the IQR measures the spread of the middle 50% of the data. Removing an extreme outlier that is far from the bulk of the data may not have a significant effect on the IQR, as the remaining.
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In a run chart, the variable being measured is typically placed on what axis?
(A) X axis
(B) Y axis
(C) Either axis
(D) Neither axis;
PLsss Someone help I can't figure it out?
What's the numerator for the following
rational expression?
3 5 ?
+
k
74
k
k
Enter the correct answer.
The numerator for the given rational expression is 3 + 5k.
In the given rational expression, (3 + 5k) represents the numerator. The numerator is the part of the fraction that is located above the division line or the horizontal bar.
In this case, the expression 3 + 5k is the numerator because it is the sum of 3 and 5k. The term 3 is a constant, and 5k represents the product of 5 and k, which is a variable.
The numerator consists of the terms 3 and 5k, which are combined using addition (+). Therefore, the numerator can be written as 3 + 5k.
To clarify, the numerator is the value that contributes to the overall value of the fraction. In this case, it is the sum of 3 and 5k.
Hence, the correct answer for the numerator of the given rational expression (3 + 5k) / (74/k^2) is 3 + 5k.
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A company expects that the number N(x) of a product sold during a week is related to the amount spent on advertising by the function N(x)=-6x3+180x²+2250x + 13,000, where x (with 0 ≤x≤25) is the amount spent on advertising in thousands of dollars. What is the point of diminishing returns?
The point of diminishing returns is
(Simplify your answer. Type an ordered pair. Do not use commas in the individual coordinates.)
The point of diminishing returns is (20.98, 21247.3).
The point of diminishing returns occurs when the marginal cost of producing an extra unit of output exceeds the marginal revenue generated from selling that unit. Mathematically, it is the point at which the derivative of the production function equals zero and the second derivative is negative.
Given the polynomial function N(x) of degree 3, we can find the point of diminishing returns by finding the critical points where the first derivative equals zero and evaluating the second derivative at those points.
The derivative of N(x) is N'(x) = -18x² + 360x + 2250. To find the critical points, we set N'(x) = 0:
0 = -18x² + 360x + 2250
Dividing by -18 simplifies the equation:
0 = x² - 20x - 125
Using the quadratic formula, we find the solutions to the equation:
x₁,₂ = (20 ± √(20² - 4(1)(-125))) / 2(1)
x₁,₂ = 10 ± 5√5
Thus, the two critical points of N(x) are at x = 10 - 5√5 and x = 10 + 5√5.
To determine the point of diminishing returns, we evaluate the second derivative N''(x) = -36x + 360 at these critical points:
N''(10 - 5√5) = -36(10 - 5√5) + 360 ≈ -264.8
N''(10 + 5√5) = -36(10 + 5√5) + 360 ≈ 144.8
From the evaluations, we find that N''(10 + 5√5) is negative while N''(10 - 5√5) is positive. Therefore, the point of diminishing returns corresponds to x = 10 + 5√5.
To find the corresponding y-coordinate (N(10 + 5√5)), we can substitute the value of x into the original function N(x).
Hence, the point of diminishing returns is approximately (20.98, 21247.3).
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Plot the frequency response and the impulse response of the LTI system having the output y = 2te-ul for the input x) = -(t).
Given an LTI system that has an output y = 2te^-ul for the input x(t) = -(t). Here, e^-ul is the decay constant and is a real positive constant. The impulse response of the system can be found by considering the impulse input x(t) = δ(t).
The output of the system with an impulse input is given by y(t) = h(t), where h(t) is the impulse response of the system.We have,x(t) = -(t)..........(1)Applying derivative on both sides of the above equation, we get,y(t) = 2te^-ul, Applying derivative on both sides of the above equation, we get,
Plot of frequency response and Impulse response of the system Hence, the plot of frequency response and the impulse response of the LTI system is shown in the figure below:, the frequency response is given by H(jω) = (2/(-jω + ul)^2) where ω is the angular frequency. The impulse response of the system is given by h(t) = (2/ul^2)t.e^-ul.
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