Answer:
x=8
Step-by-step explanation:
You would set them equal to each other to get 9x-13=6x+11.
You would them move 6x over so -6x on both sides. This would then get you 3x-13=11.
Then move the -13 over so add 13 to both sides to get 3x=24
Then get x by itself so divide by 3 to get x=24/3.
Then that simplified is 8
What is the unknown value
How does Taylor’s approach differ from Tash’s
PLEASE!!
Answer:
a. Taylor's approach is different from Tash's by adding the numbers in the parenthesis first.
b. I noticed that Tash and Taylor both end with the same answer
c. 7(x) + 7(2)
Step-by-step explanation:
b. Taylor = 5(9 + 2) = 5(11) = 55
Tash = 5(9 + 2) = 5(9) + 5(2) = 45 + 10 = 55
Help math problem help
Answer:
\(\frac{4}{5}\)
Step-by-step explanation:
sinA = \(\frac{opposite}{hypotenuse}\) = \(\frac{BC}{AC}\) = \(\frac{16}{20}\) = \(\frac{4}{5}\)
Explain the method applied for determining the density of a solid (Regular and inregular) and liquid.
The method applied for determining the density of a solid (regular and irregular) and a liquid is based on the concept of mass and volume.
For solids (regular and irregular):
Determining the mass: The mass of the solid can be measured using a balance or scale. The unit of mass is typically grams (g) or kilograms (kg).
Determining the volume:
Regular solids: The volume of regular solids, such as cubes or rectangular prisms, can be calculated using their geometric formulas. For example, the volume of a cube is calculated by cubing the length of one of its sides: Volume = side length^3.
Irregular solids: The volume of irregular solids can be determined using various methods such as water displacement. The solid is immersed in a known volume of liquid (e.g., water), and the increase in the volume of the liquid is measured. This increase represents the volume of the solid.
Calculating the density: The density of a solid is calculated by dividing its mass by its volume. The unit of density is typically grams per cubic centimeter (g/cm^3) or kilograms per cubic meter (kg/m^3).
For liquids:
Determining the mass: Similar to solids, the mass of the liquid can be measured using a balance or scale.
Determining the volume: The volume of a liquid can be measured directly using a graduated cylinder or other volumetric measuring devices. The unit of volume is typically milliliters (mL) or liters (L).
Calculating the density: The density of a liquid is calculated by dividing its mass by its volume. The unit of density is typically grams per milliliter (g/mL) or kilograms per liter (kg/L).
The method for determining the density of a solid (regular and irregular) involves measuring the mass and volume of the solid and calculating the density by dividing the mass by the volume. For liquids, the density is determined similarly by measuring the mass and volume.
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Complete the table.
starting elevation
(feet) change
(feet) final elevation
(feet)
A +200 75 up
B +200 75 down
C +200 200 down
D +200 +25
Write an addition equation and draw a number line diagram for B. Include the starting elevation, change, and final elevation in your diagram.
Answer:
Step-by-step explanation:
Starting elevation of B = +200 feet
Change in elevation for B = 75 feet down
Final elevation of B = +200 - 75 = +125 feet
The addition equation for B can be written as:
Starting elevation + Change = Final elevation
+200 - 75 = +125
The number line diagram for B is as follows:
+------------------------+------------------------+------------------------+
A B C D
+200 +125 +225
<----- 75 ft ----->
(change in elevation)
The standard deviation of a point estimator is the:.
The standard deviation of a point estimator is a measure of the variability or spread of the sampling distribution of the estimator.
n statistical inference, a point estimator is a statistic used to estimate an unknown population parameter based on sample data. The point estimator provides a single value or point estimate that serves as an estimate of the parameter of interest.
However, due to sampling variability, the estimates obtained from different samples are not expected to be exactly the same. The standard deviation of the point estimator quantifies this variability. It represents the typical amount by which the estimates from different samples deviate from the true population parameter.
A smaller standard deviation of the point estimator indicates that the estimates from different samples are more likely to be close to the true population parameter. Conversely, a larger standard deviation suggests that the estimates are more likely to be scattered further away from the true parameter.
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Without using a calculator, fill in the blanks with two consecutive integers to complete the following inequality.
In how many years the interest of Rs 25000 at 5.5% per year will be Rs3300?
Plzz help!!!
Answer:
37.82 year(s)
Step-by-step explanation:
double check tho, i might be using different method or my ans could be wrong since you gave literally no info on your specific task
Solve for x.
4x - 8 = -3(2x + 6)
Answer:
x= -1
Step-by-step explanation:
First, distribute the -3 through the parentheses
4x-8= -3(2x+6)
= 4x-8= -6x-18
Second, move the variable to the left-hand side and change its sign
4x+6x= -18+8
10x= -10
Divide both sides by 10
x=-1
Answer:
x=-7
Step-by-step explanation:
first u wanna multiply (2x+6) which equals 12 the what u wanna do is move the constant to the right which is 4x-8=-36. Then calculate 4x=-36+8. then after that then u should end up with 4x=-28 then u divide it then u end up with ×=-7
Find fx,fy, and fa-The symbol λ is the Greek letter lambda f(x, y, λ)=x2 + y2-A(6x + 9y-10)
The partial derivatives are:
f_x = 2x - 6λ
f_y = 2y - 9λ
f_λ = -(6x + 9y - 10)
To find the partial derivatives of f(x, y, λ) = x^2 + y^2 - λ(6x + 9y - 10), we'll differentiate with respect to each variable (x, y, and λ) while treating the others as constants:
1. Partial derivative with respect to x (f_x):
f_x = ∂f/∂x = 2x - λ(6)
2. Partial derivative with respect to y (f_y):
f_y = ∂f/∂y = 2y - λ(9)
3. Partial derivative with respect to λ (f_λ):
f_λ = ∂f/∂λ = -(6x + 9y - 10)
So, the partial derivatives are:
f_x = 2x - 6λ
f_y = 2y - 9λ
f_λ = -(6x + 9y - 10)
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What is the following product? Assume x greater-than-or-equal-to 0 and y greater-than-or-equal-to 0
Answer:
B
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
edge 2021
Explain your work please.
1 of 7
Express in the form 1 : n
5:10
(I would appreciate a thanks, a rating and/or a Brainliest rating if this helped you)
Answer:
1:2
Step-by-step explanation:
To express the ratio of 5 to 10 in the form of 1:n, we need to find a common factor of 5 and 10 that we can divide both numbers by to simplify the ratio.
In this case, the common factor is 5. If we divide both 5 and 10 by 5, we get:
5/5 : 10/5
Simplifying this expression gives us:
1 : 2
Therefore, the ratio of 5 to 10 in the form of 1:n is 1:2.
Graphing & Solving Inequalities
Answer:
x ≥ 1
Step-by-step explanation:
3 + 4x ≥ 7
3 - 3 + 4x ≥ 7 - 3
4x ≥ 4
4x / 4 ≥ 4 / 4
x ≥ 1
pls help me plsssssssssssss
Answer:
1) 7cm
2) 12cm
3)area is (12×7)÷2=42cm²
PLS SOLVE IF SOLVED CORRECTLY I WILL GIVE BRAINLIEST!!!
Answer:
x ≥ 5
Step-by-step explanation:
You want the solution to the inequality √(3x+1) > √(x -5).
SolutionThe square root function is increasing everywhere so the relation between the arguments is the same as the relation between their roots:
3x +1 > x -5
2x > -6 . . . . . . subtract x+1
x > -3 . . . . . . . . divide by 2
Domain restrictionsHowever, the argument of the square root function must be non-negative, so we require ...
3x +1 ≥ 0
x ≥ -1/3
and
x -5 ≥ 0
x ≥ 5
Solution setThe solution set that satisfies all of these inequalities is ...
x ≥ 5
__
Additional comment
We can rewrite the inequality to ...
√(3x +1) -√(x -5) > 0
The attached graph shows the graph of the left side of this inequality. It is undefined for x < 5, and it is > 0 everywhere it is defined, in agreement with the above.
Fourteen boxes of candles were sold for $91.00. What is the cost of 1 box?
Answer:
$6.50 per 1 box
Step-by-step explanation:
$91.00 ÷ 14 boxes = $6.50 per 1 box
Check Work:
$6.50 x 14 boxes = $91.00
A savings account balance is compounded continuously.If the interest rate is 3.1% per year and the current balance is 1077.00 in how many years will the balance reach 1486.73?
Answer:13.8 is the best answer i could get
Step-by-step explanation:1,077 multiply that × 13.8 =14,862
The height of a building is 250 feet. What is the angle of elevation, to the nearest degree, from a point on the level ground 200 feet away from the building?
When the height of a building is 250 feet. Then the angle of elevation, to the nearest degree, from a point on the level ground 200 feet away from the building will be 52.3 degrees.
The angle of elevation is the angle between the horizontal line of sight to the top of the building and the line from the point on the level ground to the top of the building.
To calculate the angle of elevation, we need to use the tangent function, which is the ratio of the opposite side to the adjacent side in a right triangle.
The adjacent side is the distance from the point on the level ground to the building, which is 200 feet. The opposite side is the height of the building, which is 250 feet. Using the tangent function,
tanФ = perpendicular/ base
tanФ = 250/200
tanФ = 5/4
Ф = \(tan^{-1}\)(5/4)
we can calculate the angle of elevation to be 51.3° to the nearest degree.
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a company has 4 service trucks. let x represent the number of trucks that are not working at any point in time. consider the probability model shown below for x. x 0 1 2 3 4 probability 0.2 0.24 0.17 0.06 0.33 a. what is the probability that exactly 1 of the trucks are not working at any point in time? give your answer to two decimal places. 0.24 b. what is the probability that fewer than 1 of the trucks are not working at any point in time? give your answer to two decimal places. 0.26 c. what is the probability that more than 1 of the trucks are not working at any point in time? give your answer to two decimal places.
Probability of each of the following is,
(a) 0.24, (b) 0.20 and (c) 0.56
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
(a) From the table,
Probability that exactly 1 of the trucks are not working at any point in time = P(x = 1) = 0.24.
(b) Probability that fewer than 1 of the trucks are not working at any point in time is the probability that no trucks are working at any point of time.
P(x < 1) = P(x = 0) = 0.20
(c) Probability that more than 1 of the trucks are not working at any point in time is the combined probability that 2, 3 and 4 trucks are working.
P(x > 1) = P(x = 2) + P(x = 3) + P(x = 4)
= 0.17 + 0.06 + 0.33
= 0.56
Hence each of the values of the probability is found.
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Jonathan is having a party at the trampoline park. The party costs $110 plus $5 per person who attends. Which expression can Jonathan use to figure out the total amount of dollars he owes at the end of the party?
Answer:
110 + 5x
Step-by-step explanation:
The base price is 110 dollars. The amount of people who attended the party is defined by x. Each person that joins the party adds 5 dollars to the total.
graph the solution of this inequality 350 ≥ 125 + 15x
the line would be at x=15 and you would shade all to the left of the line and a point in that zone or on the line would work in the equation
The graph of the linear inequality 350 ≥ 125 + 15x is attached below.
How to graph linear inequality?To graph a linear inequality in two variables (say, x and y ), first get y alone on one side. Then consider the related equation obtained by changing the inequality sign to an equality sign. The graph of this equation is a line.
If the inequality is strict ( < or > ), graph a dashed line. If the inequality is not strict ( ≤ or ≥ ), graph a solid line.
Finally, pick one point that is not on either line ( (0,0) is usually the easiest) and decide whether these coordinates satisfy the inequality or not. If they do, shade the half-plane containing that point. If they don't, shade the other half-plane.
15x + 125 <= 350
15x <= 225
x <= 15
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75 points! what’s the lateral area, total surface area, and volume of this? please help me!
Answer:
yes of course it exists until to you practice a little bit hard. so let's. try
A comparison of the actual number of people who violate the speed limit to the total number of drivers is an example of _______.
A comparison of the actual number of people who violate the speed limit to the total number of drivers is an example of a rate
What is a rate?
A rate is known as the quantity measured with respect to another measured quantity. It refers to the comparison of a part to a whole.
It is also the measure of a part with respect to a whole or a proportion.
Therefore, a comparison of the actual number of people who violate the speed limit to the total number of drivers is an example of a rate
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Find the differential of each function. y = tan squareroot 3t y = 4 - v^2/4 + v^2
The differentials of the given functions are:
dy/dt = (1/2)√(3t) sec^2(√(3t)) dt
dy/dv = -v/2 + v
To find the differential of the function y = tan(sqrt(3t)), we can use the chain rule. Let u = sqrt(3t). Applying the chain rule, we have dy/dt = dy/du * du/dt.
First, we find dy/du by taking the derivative of tan(u), which is sec^2(u). Then, we find du/dt by taking the derivative of sqrt(3t), which is (1/2)√(3t). Multiplying these two derivatives together, we get dy/dt = (1/2)√(3t) sec^2(√(3t)) dt.
To find the differential of the function y = 4 - v^2/4 + v^2, we need to take the derivative with respect to v. The first term, 4, does not depend on v, so its derivative is 0.
For the second term, -(v^2/4), we use the power rule for differentiation. The derivative of v^2 is 2v, and dividing by 4 gives -(v/2).
For the third term, v^2, the derivative is 2v.
Combining these derivatives, we get dy/dv = -v/2 + v.
The differentials of the given functions have been calculated as dy/dt = (1/2)√(3t) sec^2(√(3t)) dt and dy/dv = -v/2 + v. These differentials represent the rate of change of the functions with respect to the respective variables.
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The differential of y = tan(sqrt(3t)) is dy/dt = (1/2)(3t)^(-1/2)(3)(sec^2(sqrt(3t))). The differential of y = 4 - v^2/4 + v^2 is dy/dv = 3v/2.
To find the differential of each function, we will differentiate them with respect to the independent variable.
Differentiation of y = tan(sqrt(3t)):Let's use the chain rule to differentiate this function.
Differentiate the outer function: d/dt(tan(sqrt(3t)))Differentiate the inner function: d/dt(sqrt(3t)) = (1/2)(3t)^(-1/2)(3)Apply the chain rule: d/dt(tan(sqrt(3t))) = (1/2)(3t)^(-1/2)(3)(sec^2(sqrt(3t)))Therefore, the differential of y = tan(sqrt(3t)) is dy/dt = (1/2)(3t)^(-1/2)(3)(sec^2(sqrt(3t))).
Differentiation of y = 4 - v^2/4 + v^2:Let's differentiate this function using the power rule and the sum/difference rule for derivatives.
Differentiate the constant term: d/dv(4) = 0Differentiate the first term: d/dv(-v^2/4) = (-1/4)(2v) = -v/2Differentiate the second term: d/dv(v^2) = 2vTherefore, the differential of y = 4 - v^2/4 + v^2 is dy/dv = 0 - v/2 + 2v = 3v/2.
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Describe what the graph of the proportional relationship would look like. A line passes through the point (0, 0) and continues through the point (7, 14). A line passes through the point (0, 0) and continues through the point (14, 7). A line passes through the point (0, 0) and continues through the point (3, 6). A line passes through the point (0, 0) and continues through the point (13, 26).
The graph of the proportional relationship would look like this: a line passes through the point (0, 0) and continues through the point (14, 7).
What is the graph a proportional relationship?In Mathematics, the graph representing a proportional relationship between two variables or ordered pair (x, y) is always characterized by a constant of proportionality (slope) and modelled by a straight line with its data points passing through the origin (0, 0).
Next, we would determine the slope of the data points contained in the graph of the proportional relationship.
How to calculate the slope of a line?Mathematically, the slope of any straight line or graph of a proportional relationship can be calculated by using this formula;
Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope, m = (y₂ - y₁)/(x₂ - x₁)
Substituting the given parameters into the formula, we have;
Slope, m = (3 - 7)/(6 - 14)
Slope, m = -4/-8
Slope, m = 1/2 or 0.5
In conclusion, we can reasonably and logically deduce that a graph of this proportional relationship would have its line passing through the origin (0, 0), continues through points (14, 7), (6, 3), and (26, 13) as shown in the table of values.
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Complete Question:
The table shows a proportional relationship.
x 14 6 26
y 7 3 13
Describe what the graph of the proportional relationship would look like.
A line passes through the point (0, 0) and continues through the point (7, 14).
A line passes through the point (0, 0) and continues through the point (14, 7).
A line passes through the point (0, 0) and continues through the point (3, 6).
A line passes through the point (0, 0) and continues through the point (13, 26).
1. What is a junction? 2. What is a branch? 3. What is a loop? 4. How many different currents are in the circuit shown in the Theory section? 5. Does the direction you assign to each current in a circuit matter when you are setting up the Kirchhoff equations? Why or why not? 6. Solve the following system of equations. You will find this much easier (and the lab calculations will go much faster), if you learn how to solve systems of equations such as these with your TI calculator.
x+y−z
5.08x−9.96y
9.96y−14.72z
=0
=5.31
=−10.37
The solution to the system of equations is x = 0.859, y = -0.104, and z = 0.755.
1. A junction in an electric circuit is a point where the wires come together and electricity flows between them.
2. A branch in an electric circuit is a path for electricity to flow from one point to another.
3. A loop in an electric circuit is a closed path for the flow of electricity.
4. The circuit shown in the Theory section has 4 different currents.
5. The direction assigned to each current in a circuit does matter when setting up Kirchhoff's equations because the signs of the voltages and currents in the equations are related to the direction.
6.
The system of equations:x + y - z = 05.08x - 9.96y = 5.319.96y - 14.72z = -10.37 can be solved using Gaussian elimination, which involves performing elementary row operations on an augmented matrix.
The augmented matrix is shown below:
| 1 1 -1 | 0 || 5.08 -9.96 0 | 5.31 || 0 9.96 -14.72 | -10.37 |
To solve the system, perform elementary row operations on the augmented matrix until it is in row echelon form.
Then, solve for the variables using back substitution.
After performing elementary row operations, the augmented matrix is
| 1 1 -1 | 0 || 0 -14.2 5.08 | 5.31 || 0 0 -13.7 | -10.37 |
The last row of the matrix corresponds to the equation -13.7z = -10.37, which implies that z = 0.755.
Substituting z = 0.755 into the second row yields
-14.2y + 5.08z = 5.31-14.2y + 5.08(0.755)
= 5.31-14.2y + 3.84
= 5.31-14.2y
= 1.47y
= -0.104.
Substituting y = -0.104 and z = 0.755 into the first row yieldsx + (-0.104) - 0.755 = 0x - 0.859 = 0x = 0.859.
Therefore, the solution to the system of equations is x = 0.859, y = -0.104, and z = 0.755.
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Which of the following demonstrates the Commutative Property of Multiplication?
2(6a − 3) = (6a − 3) ⋅ 2
2(6a − 3) = 12a − 6
12a − 6 = (6a − 3) ⋅ 2
(2 ⋅ 6a) − 3 = 2(6a − 3)
Answer:
2(6a − 3) = (6a − 3) ⋅ 2
Step-by-step explanation:
here it is
Commutative means 'you can swap them'. I.e., a+b = b+a, addition is commutative. Subtraction is not.
The first answer: 2(6a − 3) = (6a − 3) ⋅ 2 is an example where 2 and (6a-3) are the factors that can be swapped, because multiplication is commutative.
a city council is planning to put a cement walkway around an existing swimming pool. the rectangular pool is twice as long as it is wide, and the walkway will be 3 feet wide on all sides. What is the area of the pool,I, in terms of the width,w?
The area of the pool in terms of the width is 2w^2 + 18w + 36.
To find the area of the pool, we need to first determine the length of the pool. Since we know that the pool is twice as long as it is wide, we can write the length as 2w.
Now, if we add the 3-foot wide walkway to both the length and width of the pool, we get a new length of 2w + 6 and a new width of w + 6.
The area of the pool plus the walkway can be found by multiplying the new length and width, which gives us (2w + 6) * (w + 6).
To find the area of just the pool, we need to subtract the area of the walkway from this total. The area of the walkway can be found by subtracting the area of the pool from the total area of the pool plus walkway.
So, the area of the pool, I, in terms of the width, w, is:
I = (2w + 6) * (w + 6) - (2w * w)
Simplifying this equation, we get:
I = 2w^2 + 18w + 36
Therefore, the area of the pool in terms of the width is 2w^2 + 18w + 36.
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ple Interes How much simple interest would be earned on a savings account of $4,500 at 5.5% interest per year after 24 months? I=(4,500)(055)(2)
4500(1+0.055)^24
4500(1.055)^24
= 16,265.65456755