Answer:
90
Step-by-step explanation:
Hello everyone
Please need this
thank you
Answer:
a. x=9
b. PR = 59
Step-by-step explanation:
a. 11x-40 = 6x+5
11x-6x=5+40
5x=45
x=9
b. PR = 11(9) -40
= 99-40
= 59
if 6 pennies are in each pile, how many pennies are in nine piles?
Answer:
54
Step-by-step explanation:
6 pennies per pile x 9 piles = 54 pennies
Answer:
54 pennies
Step-by-step explanation:
6 pennies = 1 pile
6 x 9 = 54
Mila graphs the relationship between temperature (in ° C °Cdegree, start text, C, end text) and elevation (in m mstart text, m, end text) on her hike.
The temperature in the city with an elevation of -9m is 7°C.
What is the temperature?Temperature is a definitive quantification of the amount of heat or chill precipitating from an item or environment, typically available in Celsius (°C) or Fahrenheit (°F) degrees and on the Kelvin (K) scale.
This absolute temperature scope starts at zero, translating to -273.15°C or -459.67°F when representing all sources of thermal energy's absence. Besides affecting appearance or state of an object, environmental temperatures can also modify physical traits.
Based on the graph, the temperature in the city with an elevation of -9m is 7°C.
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HELP HELP HELP
Quick algebra 1 question for 50 points!
1. Provide a brief overview of graphing a linear equation using slope.
2. Create 2 original problems and solve it using the graphing a linear equation using slope method, show your work as you solve the problem and explain each step.
The standard equation of a straight line is given by y = mx + b, where m is the slope (rate of change) and b is the y intercept of the line.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The standard equation of a straight line is given as:
y = mx + b
Where m is the slope (rate of change) and b is the y intercept of the line.
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when rounded to the hundred thousands place, which numbers will round up too 700,000?
Answer:
B, D and E
If the number is below 50,000 , keep it the same or round downwards.If the number is above or exactly 50,000 , it rounds to the next hundred thousand.In the Integer Game, what card would you need to draw to get a score of 0 if you have a −16, −35, and 18 in your hand?
Answer:
33
Step-by-step explanation:
−16−35+18+x=0
-51+18+x=0
-33+x=0
x=33
gathmathcom
a grain silo consists of a cylindrical main section and a hemispherical roof of the total volume of the silo (including the part inside the roof section) is 10,000 find.the.cylindrical part is 30 ft tall, what is the radius of the silo, correct to the nearest tenth of a foot?
The radius of the silo which is in the shape of cylinders and spheres , correct to the nearest tenth of a foot, is approximately 10.3 feet.
To find the radius of the silo, we need to determine the radius of the cylindrical section.
The volume of the cylindrical section can be calculated using the formula:
\(V_{cylinder} = \pi * r^2 * h\)
where \(V_{cylinder}\) is the volume of the cylindrical section, r is the radius of the cylindrical section, and h is the height of the cylindrical section.
Given that the cylindrical section is 30 ft tall, we can rewrite the formula as:
\(V_{cylinder} = \pi * r^2 * 30\)
To find the radius, we can rearrange the formula:
\(r^2 = V_{cylinder} / (\pi * 30)\)
Now, we can substitute the total volume of the silo, which is 10,000 cubic feet, and solve for the radius:
\(r^2 = 10,000 / (\pi * 30)\)
Simplifying further:
\(r^2 = 106.103\)
Taking the square root of both sides, we find:
\(r = \sqrt{106.103} = 10.3\)
Therefore, the radius of the silo which is in the shape of cylinders and spheres , correct to the nearest tenth of a foot, is approximately 10.3 feet.
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.5.1 The height AB (hint: Theorem of Pythagoras)
Answer: give me the context please
Step-by-step explanation:
3
Select the correct answer from each drop-down menu.
A function is a relation where each Input value is assigned to
one output value.
The
of a function is the set of all Input values, or x-values, for which the function is defined.
of a function is the set of all output values, or y-values, for which the function is defined.
for y.
The
To write the equation y= ax + b in function notation, substitute
Reset
Next
m. All rights reserved.
Answer:
A function is a relation where each input value is assigned to only one output value.
The domain of a function is the set of all input values, or x-values, for which the function is defined.
The range of a function is the set of all output values, or y-values, for which the function is defined.
To write the equation y = ax + b in function notation, substitute f(x) for y.
Answer:
Give the other person brainliest
Step-by-step explanation:
they deserve it
subject = Control System
Determine RHP roots in the following polynomial p(S)=S5 +S4 +25³ +35² +S+4
Determine RHP roots in the following polynomial p(S)=S5 +S4 +6S³ +6S² +255 +25
The solutions for the given problem are as follows:
\(p(S) = S5 + S4 + 25^3 + 35^2 + S + 4\) has no RHP roots.
\(p(S) = S5 + S4 + 6S^3 + 6S^2 + 255 + 25\) has no RHP roots.
The following are the solutions to determine RHP roots in the given polynomials in Control System:
Polynomial: \(p(S) = S5 + S4 + 25^3 + 35^2 + S + 4\)
To identify the number of RHP (Right Half Plane) roots of the given polynomial \(p(S) = S5 + S4 + 25^3 + 35^2 + S + 4\), the number of sign changes in the coefficients of the polynomial's terms can be counted.
Using the Descartes rule of sign, the number of sign changes in the polynomial's coefficients will indicate the number of positive or RHP roots present in the polynomial.
Therefore, there is no change in the sign of coefficients in the polynomial p(S).Thus, the number of RHP roots of the polynomial \(p(S) = S5 + S4 + 25^3 + 35^2 + S + 4\)is zero.
Polynomial: \(p(S) = S5 + S4 + 6S^3 + 6S^2 + 255 + 25\)
The given polynomial is \(p(S) = S5 + S4 + 6S^3 + 6S^2 + 255 + 25\).
The coefficients of the polynomial are as follows:
a5 = 1, a4 = 1, a3 = 6, a2 = 6, a1 = 1, and a0 = 25.
According to the Routh-Hurwitz criterion, the RHP roots of the polynomial p(S) are given by the following conditions:
For the polynomial \(p(S) = S5 + S4 + 6S^3 + 6S^2 + 255 + 25\), the Routh array can be written as:
1 6 25 0
1 6 25 0
6 155 0
5 25 0
25 0
Thus, the polynomial p(S) has no RHP roots since the Routh array contains no changes of sign.
Therefore, the given polynomial has no RHP roots.
Hence, the solutions for the given problem are as follows:
\(p(S) = S5 + S4 + 25^3 + 35^2 + S + 4\) has no RHP roots.
\(p(S) = S5 + S4 + 6S^3 + 6S^2 + 255 + 25\) has no RHP roots.
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re-write the equation in Ax+By=C form. use integers for A,B, and C.
y+2=-5(x-5)
Answer:
5x+y=23
Step-by-step explanation:
y+2=-5(x-5)
y+2=-5x+25
y=-5x+25-2
y=-5x+23
23=y-(-5x)
23=y+5x
5x+y=23
Anyone can help with this?
The value of x of chord = 5
By definition of circle,
The chord of a circle is defined as the line segment connecting any two locations on the circle's perimeter; nevertheless, the diameter is the longest chord of a circle that goes through the centre of the circle.
The chord is one of the several line segments that may be made in a circle, and its endpoints are on the circumference.
⇒ 6 (6 + x) = 7 (7 + 11)
Solve for x;
⇒ 36 + 6x = 7 × 18
⇒ 36 + 6x = 126
⇒ 6x = 126 - 36
⇒ 6x = 90
⇒ x = 15
Thus, The value of x = 5
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If A and B are independent events with P(A)=0.7 and P(B)=0.9, find P(A AND B).
In general, in the case of two independent events X and Y,
\(P(X\cap Y)=P(X)*P(Y)\)Therefore, in our case,
\(\Rightarrow P(A\cap B)=P(AandB)=P(A)*P(B)=0.7*0.9=0.63\)Thus, the answer is P(A and B)=0.63Find the surface area of a cylinder with a base radius of 5 ft and a height of 6 ft.
the minimax regret criterion is also referred to by economists as:
The minimax regret criterion, also known as the minimax regret strategy, is an approach used in decision theory by economists. It aims to minimize the maximum regret that could be experienced when choosing a particular course of action.
The minimax regret criterion is a decision-making technique that takes into account the potential regret associated with each possible decision. It recognizes that decision-makers often face uncertainty and that their choices may lead to outcomes that are different from what was initially expected. By considering the worst-case scenario or maximum regret for each decision, the minimax regret criterion helps decision-makers select the option that minimizes the potential regret.
In this approach, decision-makers evaluate the consequences of their choices by comparing the actual outcome with the best outcome that could have been achieved if a different decision had been made. The minimax regret strategy focuses on minimizing the maximum regret across all possible decisions, aiming to choose the option that would result in the least regret, regardless of the actual outcome.
Economists often use the minimax regret criterion to analyze decision problems under uncertainty, particularly when the consequences of different actions cannot be precisely predicted. It provides a framework for decision-making that incorporates risk aversion and the desire to minimize the potential for regret. By considering the worst possible outcomes, decision-makers can make more informed choices that take into account the potential regrets associated with their decisions.
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does someone mind helping me with this problem? Thank you!
Answer: 51
Step-by-step explanation:
We will use the Order of Operations, sometimes known as PEMDAS.
Given:
5x² - x + 9
Plug in the value of 3:
5(3)² - (3) + 9
To the power of 2:
5(9) - 3 + 9
Multiply:
45 - 3 + 9
Subtract:
42 + 9
Add:
51
A rectangular container that measures 2cm x 11cm x 20cm is completely filled with water. The water is then poured into a hollow cylindrical container of base radius 5cm.
What is the height of water in the cylindrical container?
Answer:
height of water = 5.60 cm
Step-by-step explanation:
To solve this problem, we must first calculate the volume of water present. Since the rectangular container is completely filled, the volume of water is the same as the volume of the container.
∴ Volume of water = volume of rectangular container
= length × width × height
= 2 cm × 11 cm × 20 cm
= 440 cm³
Therefore the volume of the water is 440 cm³.
The water is poured into a cylindrical container. Therefore, to calculate the height of the water in the cylindrical container, we can use the formula for the volume of a cylinder, and then solve for height:
Volume = \(\pi r^2 h\) = 440
⇒ \(\pi \times (5)^2 \times h = 440\)
⇒ \(25\pi \times h = 440\)
⇒ \(h = \frac{440}{25\pi }\)
⇒ h = 5.60 cm
The height of water in the cylindrical container is 5.60 cm.
Solve the system. X₁ 6x3 =15 4x₁ + 2x₂ 11x3 = 38 X₂ + 4x3 = -6 - - BERICH Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. OA. The unique solution of the system is D (Type integers or simplified fractions.) OB. The system has infinitely many solutions. OC. The system has no solution.
So the correct choice is option A. The unique solution of the system is (9/2, 11/2, -20/9).
To solve the given system of equations:
6x₁ + 0x₂ + 15x₃ = 15
4x₁ + 2x₂ + 11x₃ = 38
0x₁ + x₂ + 4x₃ = -6
We can write the system in matrix form as AX = B, where A is the coefficient matrix, X is the variable matrix, and B is the constant matrix:
A = |6 0 15| X = |x₁| B = |15|
|4 2 11| |x₂| |38|
|0 1 4| |x₃| |-6|
To determine the solution, we'll perform row reduction on the augmented matrix [A|B] using Gaussian elimination:
|6 0 15 15|
|4 2 11 38|
|0 1 4 -6|
R2 = R2 - (4/6)R1
R3 = R3 - (0/6)R1
|6 0 15 15 |
|0 2 -1 8 |
|0 1 4 -6 |
R2 = (1/2)R2
|6 0 15 15 |
|0 1 -1/2 4 |
|0 1 4 -6 |
R3 = R3 - R2
|6 0 15 15 |
|0 1 -1/2 4 |
|0 0 9/2 -10 |
R3 = (2/9)R3
|6 0 15 15 |
|0 1 -1/2 4 |
|0 0 1 -20/9|
R1 = R1 - 15R3
|6 0 0 27 |
|0 1 -1/2 4 |
|0 0 1 -20/9|
R2 = R2 + (1/2)R3
|6 0 0 27 |
|0 1 0 11/2|
|0 0 1 -20/9|
R1 = (1/6)R1
|1 0 0 9/2 |
|0 1 0 11/2|
|0 0 1 -20/9|
Now we have the row-reduced echelon form of the augmented matrix. Converting it back into equations, we get:
x₁ = 9/2
x₂ = 11/2
x₃ = -20/9
Therefore, the unique solution of the system is:
x₁ = 9/2, x₂ = 11/2, x₃ = -20/9.
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ANSWER QUICKlY ASAP!!!!
Answer:
\( \sqrt{9 } = 3 \)
Determine whether the two lines given below are Parallel, perpendicular, or neither.A) ParallelB) PerpendicularC) Neither
We can determine whether two lines are parallel, perpendicular, or neither using the slopes of the lines.
Two lines are parallel when both of the lines have the same slope, for example:
\(\begin{gathered} y=-2x+3 \\ y=-2x-4 \end{gathered}\)Two lines are perpendicular to each other when the product between the lines is equal to -1, for example:
\(\begin{gathered} y=-2x+5 \\ y=\frac{1}{2}x+3 \end{gathered}\)if none of the conditions stated before the lines are neither parallel nor perpendicular.
In the given exercise:
\(\begin{gathered} y=-\frac{1}{3}x+2 \\ y=3x-5 \end{gathered}\)both lines have different slopes, then they are not parallel.
Find the product between the slopes,
\(\begin{gathered} m_1\cdot m_2 \\ -\frac{1}{3}\cdot3 \\ -1 \end{gathered}\)Answer:
The lines shown are perpendicular to each other because the product between the slopes is equal to -1.
What is the image of the point (-7,5)(−7,5) after a rotation of 180^{\circ}180
∘
counterclockwise about the origin?
The coordinates of the image of the point (-7, 5) are (7, -5).
We are given point P. The coordinates of the point P are (-7, 5). We perform a transformation on the given point. We rotate the given point about the origin counter-clockwise. The angle of rotation is 180°. We need to find the coordinates of the image of the point after rotation.
Let the new coordinates of the image of the point after rotation be denoted by (X, Y). If the coordinates of the original point are (x, y), then the relations between the coordinates of the point and the image are given below.
X = x*cosθ - y*sinθ
X = (-7)*cos(180°) - (5)*sin(180°)
X = (-7)*(-1) - (5)*(0)
X = 7
Y = x*sinθ + y*cosθ
Y = (-7)*sin(180°) + (5)*cos(180°)
Y = (-7)*(0) + (5)*(-1)
Y = -5
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There are two numbers and the first is larger than the second. Three times
the larger number plus the smaller number is forty. Twice the smaller number
plus one is equal to the larger number. Find both numbers
Answer:
3y+x=40
x=40-3y..........1
2x+1=y........2
subst. 2into1:
x=40-3(2x+1)
x=40-6x-3
7x=37
x=37/7
subst.x into2:
2(37/7)+1=y
y=81/7
Need help asap.
The GDP of a country goes down as people spend more money and businesses make more products.
True or false
Answer:
I'm gonna say false
GDP or Gross Domestic Profit is the money that is being spent/made inside the country. So it stands to reason that if people are spending more, the GDP would go up.
Hope this helps!
phoebe has a hunch that older students at her very large high school are more likely to bring a bag lunch than younger students because they have grown tired of cafeteria food. she takes a simple random sample of 80 sophomores and finds that 52 of them bring a bag lunch. a simple random sample of 104 seniors reveals that 78 of them bring a bag lunch.Do these data give convincing evidence to support Phoebe’s hunch?
Yes, the data give convincing evidence to support Phoebe's hunch. As the result of the test is a p-value that is 0.1 of less than 0.05.
What is p-value?The p-value is the probability of obtaining a result as extreme or more extreme given that the null hypothesis is true. The p-value is calculated by comparing the test statistic to the probability distribution under the null hypothesis.
The ratio of seniors bringing a bag lunch= 78/104 or 0.75,
while the ratio of sophomores bringing a bag lunch= 52/80 or 0.65.
This indicates that the proportion of seniors bringing a bag lunch is higher than the proportion of sophomores bringing a bag lunch.
Further, the difference between the proportions is
0.75-0.65 = 0.1,
which is a large enough difference to be considered significant.
The result of the test is a p-value of less than 0.05, which is statistically significant and indicates that the difference in the proportions is due to the different ages, and not due to chance.
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Find the solution of the system of equation 2x+8y=4
6x-y=13
A student randomly draws a card from a standard deck of 52 cards. He records the type of card drawn and places it back in the deck. This is repeated 20 times. The table below shows the frequency of each outcome.
Outcome Frequency
Heart 7
Spade 3
Club 6
Diamond 4
Determine the experimental probability of drawing a diamond.
0.13
0.20
0.35
0.70
The experimental probability of drawing a diamond is 0.20
Determining the experimental probability of drawing a diamond.From the question, we have the following parameters that can be used in our computation:
Outcome Frequency
Heart 7
Spade 3
Club 6
Diamond 4
For diamond, we have
P(Diamond) = Diamond/Total
So, we have
P(Diamond) = 4/20
Evaluate
P(Diamond) = 0.20
Hence, the value is 0.20
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Use the tables below to find (p − q)(2). A 2-column table has 3 rows. The first column is labeled x with entries 4, 2, negative 3. The second column is labeled p (x) with entries negative 1, 3, 2. A 2-column table has 3 rows. The first column is labeled x with entries 4, 2, negative 3. The second column is labeled q (x) with entries 1, negative 2, 5. (p – q)(2) =
Composite functions are multiple functions combined to form another function.
The value of the composite function (p - q)(2) is 5
To find (p - q)(2), we make use of the following composite function formula:
\((p - q)(x) = p(x) - q(x)\)
Substitute 2 for x in the above formula
\((p - q)(2) = p(2) - q(2)\)
From the table entries, we have:
\(p(2) =3\)
\(q(2) = -2\)
So, the equation becomes
\((p - q)(2) = 3 -- 2\)
Rewrite the above equation as:
\((p - q)(2) = 3 + 2\)
Take the sum of 3 and 2
\((p - q)(2) = 5\)
Hence, the value of (p - q)(2) is 5
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How do i do this? Circle Theorm
Graph the equation y=-2x+6
Graph of line y = - 2x + 6 is attached below.
What is line?A line is a geometry object characterized under zero width object that extends on both sides. A straight line is just a line with no curves. So, a line that extends to both sides to infinity and has no curves is called a straight line.
Given equation of the line,
y = -2x + 6
It is slope-intercept form of line
slope m = -2
y-intercept b = 6
Graph is drawn as following.
Hence, Graph drawn is attached below.
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Is there a dilation that maps shape I onto shape II? If so, what is the scale factor, and is it an enlargement or a reduction?
Answer:
Enlargement.
Scale Factor: 3
Step-by-step explanation:
Use points to find the enlargement. Typically, you will use all the points.
A(1 , 1) ⇒ A'(3 , 3)
B(2 , 1) ⇒ B'(6 , 3)
C(1 , 2) ⇒ C'(3 , 6)
D(2 , 2) ⇒ D'(6 , 6)
To find the scale factor, simply divide the Point' with the original Point. Use any number.
A'(3 , 3)/(A(1 , 1)) = 3
B'(6 , 3)/(B(2 , 1)) = 3
C'(3 , 6)/(C(1 , 2)) = 3
D'(6 , 6)/(D(2 , 2)) = 3
Your scale factor is 3.
~
Answer:
Scale Factor: 3
It's an enlargement.