Answer: Sorry i have no clue
Step-by-step explanation:
question 1 find two consecutive even numbers such that the sum of the smaller number and twice the larger number is 70A.) 10 and 30B.) 16 and 27C.) 20 and 22D.) 22 and 24
hello
to solve this problem, let's represent the first consecutive number with x and the second with x + 2
from the information on the question, we can set out an equation here
\(\begin{gathered} x\text{ +2}\times(x+2)=70 \\ 2x+2x+2=70 \\ 4x+2=70 \end{gathered}\)let's solve this equation
step 1
collect like terms
\(\begin{gathered} 6x+4=70 \\ 6x=70-4 \\ 6x=66 \end{gathered}\)step two
divide both sides by the coefficient of x
The double number lines show the ratio of feet to miles.
How many feet are in 333 miles?
feet
Answer:
1,758,240 ft
Step-by-step explanation:
1 mile= 5280
333 mile--> 5280 x 333
5280 x 333 = 1758240
Answer:
if your doing khan academy like me the answer is 15,840
Step-by-step explanation:
A circle of radius 3.5cm falls entirely within another of
radius 7cm. Find the area
of space between them.with it's working
Answer:
The area of the space is( 0.1155 m^2)
y - 7 = 21 Your answer should be the value for the variable y.
Answer:
28 would be the answer
Step-by-step explanation:
because 21+7= 28
Solve the differential equation, y'(x) + 3y(x) = x + 1, coupled with the initial condition, y (0) = 0.
The solution to the given differential equation with the initial condition y(0) = 0 is: y(x) = (1/3) * x + (1/3) - (1/9) - (1/9) * \(e^(-3x)\)
To solve the given differential equation, y'(x) + 3y(x) = x + 1, with the initial condition y(0) = 0, we can use an integrating factor. Let's proceed with the solution.
The given differential equation can be written in the standard form as follows:
y'(x) + 3y(x) = x + 1
The integrating factor is defined as e^(∫3 dx) =\(e^(3x).\)
Multiplying both sides of the equation by the integrating factor, we get:
\(e^(3x) * y'(x) + 3e^(3x) * y(x) = (x + 1) * e^(3x)\)
By applying the product rule on the left side, we have:
(d/dx) \((e^(3x) * y(x)) = (x + 1) * e^(3x)\)
Integrating both sides with respect to x, we obtain:
\(e^(3x) * y(x)\) = ∫(x + 1) * \(e^(3x) dx\)
Now, we need to evaluate the integral on the right side. Using integration by parts, we have:
∫(x + 1) * \(e^(3x)\)dx =\((1/3) * (x + 1) * e^(3x) - (1/3)\)* ∫\(e^(3x) dx\)
Simplifying further, we get:
∫e^(3x) dx = (1/3) *\(e^(3x)\)+ C₁
Substituting back into the equation, we have:
\(e^(3x)\)* y(x) = (1/3) * (x + 1) *\(e^(3x)\) - (1/3) * [(1/3) * \(e^(3x)\)+ C₁]
Simplifying, we obtain:
\(e^(3x)\) * y(x) = (1/3) * x * \(e^(3x) + (1/3) * e^(3x)\)- (1/9) * e^(3x) - (1/3) * C₁
Dividing by \(e^(3x),\) we get:
y(x) = (1/3) * x + (1/3) - (1/9) - (1/3) * C₁ * \(e^(-3x)\)
Now, we apply the initial condition y(0) = 0 to find the value of C₁:
0 = (1/3) * 0 + (1/3) - (1/9) - (1/3) * C₁ * \(e^(-3 * 0)\)
0 = (1/3) - (1/9) - (1/3) * C₁
(1/9) = (1/3) * C₁
Thus, C₁ = 3/9 = 1/3.
Substituting the value of C₁ back into the equation, we have:
y(x) = (1/3) * x + (1/3) - (1/9) - (1/3) * (1/3) * \(e^(-3x)\)
Simplifying, we get:
y(x) = (1/3) * x + (1/3) - (1/9) - (1/9) * \(e^(-3x)\)
Therefore, the solution to the given differential equation with the initial condition y(0) = 0 is:
y(x) = (1/3) * x + (1/3) - (1/9) - (1/9) * e^(-3x)
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Tell how much each person gets when they share equally.
6 people share 12 muffins.
Answer: 2
If there are 6 people, and there are 12 muffins, then we simply divide 12 by 6. This gives us 2. Which means that each person can get 2 muffins.
Step-by-step explanation:
Hope this helps =)
Mr. Patterson goes to the redwoods in California. He sees a tree a tree that is 300 feet tall. The angle of elevation from the ground where Mr. Patterson is standing to the top of the tree is 75 degrees. How far away is Mr. Patterson standing from the tree? Round to the nearest tenth.
Using trigonometric functions, Mr. Patterson is standing approximately 68.2 feet away from the tree.
What are trigonometric functions?Trigonometric functions are mathematical functions that relate the angles of a right triangle to the lengths of its sides. There are 6 trigonometric functions and those are sine (sin), cosine (cos), tangent (tan), cosecant (csc), secant (sec), and cotangent (cot).
The sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. The cosine of an angle is defined as the ratio of the length of the adjacent side to the length of the hypotenuse. The tangent of an angle is defined as the ratio of the length of the opposite side to the length of the adjacent side.
Now,
We can use trigonometry to find the distance between Mr. Patterson and the tree. Let's call this distance "x".
In a right triangle with the tree as the hypotenuse, the opposite side is the height of the tree (300 feet), and the angle opposite the opposite side is 75 degrees. Therefore, we can use the tangent function to find the adjacent side, which is the distance Mr. Patterson is standing from the tree:
tan(75°) = opposite / adjacent
tan(75°) = 300 / x
x = 300 / tan(75°)
x ≈ 68.2
Therefore, Mr. Patterson is standing approximately 68.2 feet away from the tree.
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X1 3. A firm has a production function f(x₁,x₂)= x₁¹/³ x₂²/3. The price of x₁ =1 and the price of x₂ =2. Denote the output by y. Derive the conditional demand for x₁ (equation for the y and cost minimizing x₁) and cost function c(y). If the market price is given by 2, what is the profit maximizing output? If the firm has limit of output which is 100, then derive the supply curve of this firm (note that in this case of deriving the supply curve, you should consider the general price, not 2
Given that the production function of a firm is f(x1, x2) = x1^(1/3) * x2^(2/3), where price of x1 = 1 and price of x2 = 2. Let's derive the conditional demand for x1 and cost function c(y).
Conditional demand for x1 can be derived as:
∂f(x1, x2)/ ∂x1 = (∂/∂x1) (x1^(1/3) * x2^(2/3))= (1/3) * x1^(-2/3) * x2^(2/3)
Now, put the value of x2 = (y/ x1^(1/3))^3 in the above equation.
∂f(x1, x2)/ ∂x1 = (1/3) * x1^(-2/3) * (y/ x1^(1/3))^2 = (1/3) * y^2 * x1^(-4/3)
Since price of x1 = 1, the cost function can be written as c(y) = w1 * x1 + w2 * x2 = x1 + 2x2 = x1 + 4(y/ x1^(1/3))
The cost function of the firm is
c(y) = x1 + 4y^(1/3) * x1^(-1/3) = x1 + 4y^(1/3)/x1^(1/3)
In order to maximize the profit, we need to differentiate the cost function with respect to x1 and equate it to zero.
(c(y))/d(x1) = 1 - 4/3 * y^(1/3) * x1^(-4/3) = 0
x1 = (3/4) * y^(1/3)
On substituting the value of x1 in the cost function, we get:
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What is the slope of the line that passes through the points (-5,0) and (7,8)?
Write your answer in simplest form.
Answer:
Step-by-step explanation:
Use the slope formula:
\(m = \frac{y2 -y1}{x2 - x1}\)
where m = slope
(-5, 0) -> means x1 = -5. y1 = 0
(7, 8) -> means x2 = 7 , y2 = 8
Substitute these values into the slope formula above and you get:
\(m = \frac{y2 -y1}{x2 - x1} = \frac{8-0}{7- (-5)} = \frac{8}{7+5} = \frac{8}{12} = \frac{2}{3}\)
The slope of the line that passes through the points (-5,0) and (7,8) is 2/3
The formula for calculating the slope of a line is expressed as:
\(m = \frac{y_2-y_1}{x_2-x_1} \\m=\frac{8-0}{7-(-5)} \\m=\frac{8}{7+5}\\m=\frac{8}12} \\m= \frac{2}{3}\\\)
Hence the slope of the line that passes through the points (-5,0) and (7,8) is 2/3
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in which quadrant on the cartesian plane does (0,-3) lie?
Answer:
I believe quadrant 1
Step-by-step explanation:
There r quadrants on a graph, once (0,-3) is graphed it lands in the first quadrant sense it’s on that side
ask me questions if you need clarification
Given coordinate is (3,0)(3,0). This point lies on the x-axis because its y-axis is on origin. Therefore, it lies on the x-axis between the Quadrant I and Quadrant IV.
Would the point (2,7) be on the line y = 2x +7
No
Step-by-step explanation:A point is on a line if that point satisfies the equation.
Testing Points
To test if the point (2,7) is on the line y = 2x + 7, we need to plug the point into the equation. For the coordinate pair (2,7), the x-value is 2 and the y-value is 7. So, plug 2 in for x and 7 in for y.
7 = 2(2) + 7Then, simplify.
7 = 11As you can see, 7 does not equal 11. Thus, point (2,7) cannot be a point on the given line.
Other Points
We can do this same test with other points such as (1,9). The x-value is 1 and the y-value is 9, so now we can plug them in.
9 = 2(1) + 79 = 9Since 9 equals 9 is a true statement, the point (1,9) is a point on the given line.
3+ T/2 = 35  (Solve for T)
Therefore , the solution to the given problem of linear equation comes out to be T= 64.
Define a linear equation.Any function that fulfills the algebraic equation y=mx+b is said to be linear. B is the slope, and m is the y-intercept. Since both x and y are factors, the previous sentence is commonly referred to as an equation system with two variables." Two-variable linear equations are referred to as bivariate equations. There are several applications for linear equations: x + z = 2, and 3z - y + z = 3 both have a zero solution. If an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept, it is referred to as linear. The equation is written as Y=mx+b, where m denotes the slope and b the y-intercept.
Here,
Given : 3+ T/2 = 35
thus,
=> 3+ T/2 = 35
=> T/2 = 35-3
=> T/2 = 32 *2
=> T= 64
Therefore , the solution to the given problem of linear equation comes out to be T= 64.
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The output is ten less than the input
Answer:
take the output and take away from the the input
Step-by-step explanation:
A class voted for either rollerblading, swimming, or biking as their favorite
summer activity. If swimming got 43% percent of the vote and biking got 15%,
what percentage of the class voted for rollerblading?
Step-by-step explanation:
Percentage for Rollerblading
= Total - Percentage for Swimming - Percentage for Biking
= 100% - 43% - 15%
= 42%.
The odometer on Ed's car shows 8,946 miles. The odometer on Beth's car shows 5,042 miles driven. Which car has traveled the most miles?
(NO LINKS)
Answer:
since 8946 is more then 5042 we know ed has driven the most miles.
Step-by-step explanation:
Given the following two points, find the Rate of Change for the function.
(-2,-1) and (4,5)
Answer:
(6, 6)
Step-by-step explanation:
(x) 4-(-2) = 6
(y) 5-(-1)= 6
Determine the smallest integer value of x in the solution of the following inequality.
5x7-1
The smallest integer value of x in the solution of the following inequality x is strictly less than 2 or x ∈ (-∞, 2)
What are inequalities?Inequalities are statements that are represented as comparison between two or more numbers or algebraic expressions.(strictly less, strictly great, greater, lesser)
Given that the inequality 5x - 7 < 2x - 1
Solving the given equation:
5x - 7 < 2x - 1
5x - 7 - 2x < 2x - 1 - 2x
3x - 7 < -1
3x - 7 + 7 < -1 + 7
3x < 6
x < 2
Therefore, We conclude that x is strictly less than 2.
Hence x ∈ (-∞, 2)
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g suppose 50 students took an exam and the average score was 70 with a standard deviation of 10. use 68-95-99.7 rule for questions dealing with normal distribution. if the distribution of scores is perfectly normal, how many students would you expect to get an a? (a score between 90 and 100) round up to nearest whole number.
Only one student is expected receive an A for the exam.
The 68-95-99.7 rule states that for a normal distribution, 68% of the data falls within one standard deviation of the mean, 95% of the data falls within two standard deviations of the mean, and 99.7% of the data falls within three standard deviations of the mean.
In this case, the mean is 70 and the standard deviation is 10, so the range of scores that would be considered an "A" would be between 90 and 100.
We can calculate the number of standard deviations from the mean that the range 90 to 100 covers and use the 68-95-99.7 rule to estimate the percentage of students who would receive an "A".
For a score of 90, the number of standard deviations from the mean is (90 - 70) / 10 = 2.
For a score of 100, the number of standard deviations from the mean is (100 - 70) / 10 = 3.
So, the range of scores between 50 and 90 covers two standard deviations from the mean and between 40 and 100 covers three standard deviations from the mean. According to the 68-95-99.7 rule, 99.7% of the data falls within three standard deviations of the mean and 95% of the data falls within two standard deviations of the mean, so we would expect about (99.7% - 95%)/2 = 2.35% of the students to receive an "A".
With 50 students, we would expect approximately 50 * 0.0235 = 1.175 ≈ ` student to receive an "A". We can round up to the nearest whole number to get an estimate of 50 students.
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can anyone help. how to solve this plz. 58power4 -388
Answer:
The answer is 11,316,108
Step-by-step explanation:
\(58^{4} - 388\)
(58)(58)(58)(58) - 388
11,316,496 - 388
= 11,316,108
Can someone please help me? :(
Answer:
A
Step-by-step explanation:
4ft*4 1/3ft*3 1/3ft = 57 7/9 ft3
Find the missing side lengths. Leave your answer as radicals in simplest form.
The values of the sides are;
41. x = 18√3. Option D
42. x = 6√3. Option A
How to determine the valuesUsing the different trigonometric identities, we have;
41. Using the tangent identity, we have;
tan 60 = 9√2/y
cross multiply the values
y =9√2 ×√3
y = 9√6
Using the sine identity;
sin 45 = y/x
1/√2 = 9√6/x
cross multiply the values, we have;
x = 9√2 ×√3 ×√2
x = 18√3
42. Using the cosine identity
cos 60 = 3√3 /x
cross multiply, we have;
x = 6√3
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Evaluate the following expression.7/8 ÷ 1/8 + 22
Answer:
29
Step-by-step explanation:
Copy dot flip
7/8 × 8/1 + 22
56/8 + 22
7 + 22
29
Answer:
11
Step-by-step explanation:
WILL GIVE BRAINLIEST! use the given diagram to determine the segment lengths
Several batches of stew were made yesterday. Each batch required 1 and two-thirds pounds of meat. All together, 10 and StartFraction 5 over 6 EndFraction pounds of meat was used. Janice tried to find the number of batches of stew made. Her work is shown below.
Answer:
Step-by-step explanation:
Answer:
no of batches of street made is 2345
srry i don't know
Step-by-step explanation:
(1 point) find the solution to the differential equation dydx y2=0, subject to the initial conditions y(0)=10. y=
The solution to the differential equation dy/dx y^2 = 0, subject to the initial condition y(0) = 10 is y(x) = 10.
The solution to the differential equation dy/dx y^2 = 0, subject to the initial condition y(0) = 10 is:
y(x) = 10
To solve the given differential equation, we can first separate the variables by dividing both sides by y^2 to get:
1/y^2 dy/dx = 0
We can then integrate both sides with respect to x to obtain:
-1/y = C
where C is the constant of integration. Solving for y, we get:
y = -1/C
Since we have an initial condition of y(0) = 10, we can substitute this into the solution to solve for C:
10 = -1/C
C = -1/10
Substituting C back into the solution, we get:
y = -10
Therefore, the solution to the differential equation dy/dx y^2 = 0, subject to the initial condition y(0) = 10 is y(x) = 10.
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use a model to divide. 1/2÷3
Answer:
≈0.167 (2/3)
Step-by-step explanation:
hope this helps!
find c
A. square root of 7 and 2
B. 14
C. 7
D. square root of 7 and 3
can you please help.
Answer:
3.74-a
7
2.64
4.58
Step-by-step explanation:
hope it helps please mark me as brainlist
¿Que tiempo se tardara en escucharse el retumbo de un volcan situado a 58km?
Answer:
How long will it take to hear the rumbling of a volcano located 58km away?
Step-by-step explanation:
Can someone plz help me
Answer:
I would say 32 but I'm so sorry if it's wrong
Suppose triangle TIP and triangle TOP are isosceles triangles. Also suppose that TI=5, PI=7, and PO=11. What are all the possible lengths TP? Enter the possible values, separated by commas.
Answer:
5, 7.
Step-by-step explanation:
If both triangles are isosceles, then, for each triangle, two of their sides must be equal. Since TI and PI are different, then TP is either equal to TI or PI.
That being said, TO will necessarily be equal to PO, which is 11, and the possible values for TP are:
If TP = TI, then TP = 5
If TP = PI. then TP = 7.