Answer:
It is the first answer
Step-by-step explanation:
Because you are multiplying which also means (product of something).
Use a single digit times a power of 10 to estimate the number 0.000007328.
Question content area bottom
Rounded to the nearest millionth, the number is about
The estimation of 0.000007328 is \(7\times10^{-6\).
What is estimation?Estimation is he ability to guess the amount of anything without actual measurement.
The number (n) is given as:
\(\text{n}=0.000007328\)
Multiply by 1
\(\text{n}=0.000007328\times1\)
The number is to be rounded to the nearest millionth.
So, we substitute \(\frac{1000000}{1000000}\) for 1
\(\text{n}=0.000007328\times1\)
\(\text{n}=0.000007328\times\dfrac{1000000}{1000000}\)
This becomes
\(\text{n}=7.328\times\dfrac{1}{1000000}\)
Express the fraction as a power of 10
\(\text{n}=7.328\times10^{-6\)
Approximate to a single digit
\(\rightarrow\bold{n=7\times10^{-6}}\)
Therefore, the estimation of 0.000007328 is \(7\times10^{-6}\).
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Which coordinate does the axis of symmetry represent?
Answer:
The x -coordinate of the vertex is the equation of the axis of symmetry
Step-by-step explanation:
sorry if its wrong
let f : (0,1) → r be a continuous function such that lim x→0 f(x) = lim x→1 f(x) = 0. show that f achieves either an absolute minimum or an absolute
Hence, it has been proven that the function f achieves either an absolute minimum or an absolute maximum on the interval (0,1).
Let f : (0,1) → r be a continuous function such that lim x→0 f(x) = lim x→1 f(x) = 0. show that f achieves either an absolute minimum or an absolute maximum on the interval (0,1).Solution:The interval given is a closed interval that is bounded (it is bounded by 0 and 1) and therefore compact. By the extreme value theorem, a continuous function on a compact interval attains its maximum and minimum at some points in the interval. Hence, there exists a and b in the interval (0, 1) such that f(a) is the maximum of f on the interval and f(b) is the minimum of f on the interval.Since lim x→0 f(x) = lim x→1 f(x) = 0, then we may have a, b ≠ 0 or 1. But a and b must be within the interval (0,1).Hence, it has been proven that the function f achieves either an absolute minimum or an absolute maximum on the interval (0,1).The total words used in the answer is 152.
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what is the indentation diagonal length when a load of 0.700 kg produces a vickers hv of 650
the indentation diagonal length is approximately 0.0686 units.
What is Intention Diagonal Length?
The indentation diagonal d is determined by the mean value of the two diagonals d 1 and d 2 at right angles to each other: To avoid the risk of bulging of the material on the opposite side of the sample, the thickness should not fall below a certain minimum value. value. The minimum thickness depends on the expected hardness of the material and the test load.
To calculate the indentation diagonal length using the Vickers hardness value, you need to know the applied load and the hardness number. The Vickers hardness test measures the resistance of a material to indentation using a diamond indenter.
In this case, you have the following information:
Load: 0.700 kg
Vickers HV: 650
The Vickers hardness number (HV) is defined as the applied load divided by the surface area of the indentation.
The formula to calculate the indentation diagonal length (d) is:
d = 1.854 * sqrt(L / HV)
Where:
d = indentation diagonal length
L = applied load in kg
HV = Vickers hardness number
Plugging in the values:
d = 1.854 * sqrt(0.700 / 650)
Calculating the square root and performing the division:
d ≈ 1.854 * 0.0370262
d ≈ 0.0686
Therefore, the indentation diagonal length is approximately 0.0686 units. Please note that the specific unit (e.g., millimeters) was not provided in the question, so the answer is given in relative units.
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A man wants to build around water fountain with diameter, d = 11.28 feet. The man is trying to put up a fence around the build with some wire. What is the length of the wire that the man needs to complete the task?
Answer:
35.44
Step-by-step explanation:
2 times pi times radius.
what is the constant of proportionality in the equations 3y=2X?
Answer:
the coefficient of x is 2/3 which is the constant.
i don't understand how to do this
Estimate the price impact of a 50-basis point interest rate change using a linear approximation of a 10-year 7% semi-annual coupon bond priced at 97.50.
Answer:
-0.1402
Step-by-step explanation:
Let's calculate the price impact of a 50-basis point (0.50%) interest rate change using a linear approximation for a 10-year, 7% semi-annual coupon bond priced at $97.50.
Step 1: Calculate the current yield:
Current yield = Coupon payment / Current price
Coupon payment = Face value * Coupon rate
Coupon payment = $100 * 0.07 = $7
Current yield = $7 / $97.50 = 0.0718 (or 7.18%)
Step 2: Calculate the Macaulay duration:
Macaulay duration = [(Time until Cash Flow) * (Cash Flow)] / [Current Price * (1 + Yield per period)]
The bond has 20 semi-annual periods, and the cash flow is the coupon payment of $7.
Macaulay duration = [(1 * $7) + (2 * $7) + ... + (20 * $7)] / [$97.50 * (1 + 0.0718)]
Using the formula for the sum of an arithmetic series, we can simplify the Macaulay duration calculation:
Macaulay duration = (20 * ($7 * 21)) / ($97.50 * 1.0718)
Macaulay duration = 2940 / 104.8375
Macaulay duration ≈ 28.0344
Step 3: Estimate the price impact:
Price impact ≈ -Macaulay duration * Interest rate change
Price impact ≈ -28.0344 * 0.005
Price impact ≈ -0.1402
Therefore, the estimated price impact of a 50-basis point interest rate change for the given bond is approximately -0.1402, implying a decrease in the bond price.
 Can you please help me!
Brooklyns mother gave her an allowance at the beginning of a certain summer break. Brooklyn spent an equal amount of money each week from the allowance. The line graph shows her allowance over 4 weeks. How much did brooklyn spend on her allowance each week
Pls help!! Iv'e been struggling for a while!
Answer: wait how much was her allowance
Step-by-step explanation:
Number 12 please help was Answer
OAB is a minor sector of the circle below.
Calculate the length of the minor arc AB.
Give your answer in centimetres (cm) to 1 d.p.
A to B
40°
A to O
19 cm
To one decimal place, the minor arc of AB measures 12.006 cm.
To calculate the length of the minor arc AB, we must find the circumference of the entire circle and then determine what fraction of the circumference the arc AB represents.
Since the radius of the circle is equal to AO, which is 19 cm, we can use the formula for the circumference of a circle:
C = 2πr
Substituting the radius value, we get:
C = 2π * 19 cm
Now to find the length of the lateral arc AB, we must calculate what fraction of the circumference is represented by the central angle of 40°.
The central angle AB is 40°, and since the central angle of a full circle is 360°, the fraction of the circumference represented by the smaller arc AB can be calculated as:
Part of a circumference = (40° / 360°)
To find out the length of the small arc AB, we multiply the fraction of the circumference by the total circumference of the circle:
AB's minor arc length is equal to the product of the circumference and its fraction.
AB's short arc's length is equal to (40°/360°) * (2 * 19 cm).
The length of the small arc AB ≈ 0.1111 * (2π * 19 cm)
The length of the small arc AB is ≈ 12.006 cm
Therefore, the length of the lower arc AB is approximately 12.006 cm to one decimal place.
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11/12 - (-10)- 5/6 please help
Answer:
121/12 is the answer your welcome
Menus eusvtagebisvsuveudysvs sieue rjeuysvudg duty’s itteveh help
Answer:
13+12+5/2
Step-by-step explanation:
solv it answer will come
Answer:
12×5=60
1/2×4×12=24
24×2=48
60+48=108
=108cm²
can you tell me what is 274699÷47682
Answer:
5.76106287
Step-by-step explanation:
Answer: 5.76106287488
Step-by-step explanation:
Write -93.74 as a mixed number.
The table below represents a linear function for the cost of a gym membership based on the number of months of membership.
Time (month) Cost
1 $105
3 $165
5 $225
7 $285
What is the slope and y-intercept of the linear function?
The slope is ____ and the y-intercept is ___.
Answer:
The slope is 30, and the y-intercept is 75.
Step-by-step explanation:
Use two points from the table, and find the equation of a line given two points.
Point 1: (1, 105)
Point 2: (3, 165)
y = mx + b
slope = m = (y_1 - y_1)/(x_2 - x_1)
m = (165 - 105)/(3 - 1) = 60/2 = 30
y = 30x + b
Use point (1, 105) for x and y.
105 = 30(1) + b
105 = 30 + b
b = 75
y = 30x + 75
The slope is 30, and the y-intercept is 75.
Which number is between 1.2 and 1.3?
Answer:
1.21, 1.22, 1.23, 1.24, 1.25, 1.26, 1.27, 1.28, 1.29
Step-by-step explanation:
technically it goes on forever but yeah
For each graph below, state whether it represents a function.
Answer:
Graph 1, 2, 5, 6 are not functions.
Graph 3, 4 are functions
Step-by-step explanation:
For every input there can only be one output to be a function.
Of the given graphs, only graph[3] and graph[4] represent functions.
What is a function?
A function is a relation between a independent variable and a dependent variable such that the value of dependent variable depends upon the independent one. It is denoted by f(x).
Given are the graphs plotted for different expressions.
Now, for a given expression to be a function, it should have a single unique value of variable [y] in coordination with that of [x]. Of all the graphs given, only the continuous graph[3] and discrete graph[4] have unique or only one unique value of [y] for a value of [x]. So, only graph[3] and graph[4] represent functions.
Therefore, of the given graphs, only graph[3] and graph[4] represent functions.
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in teacinids. (a) Determine the viocity to the particle as a function of time.
v
(t)= (b) Determune the noslton of the particle as a function of timent
When the particle attains zero acceleration, its velocity will be equal to the coefficient of the linear term in the position function, which is 'a'.
To understand this, let's consider the given position function: x(t) = at + bt^2 - ct^3.
The velocity of the particle is the derivative of the position function with respect to time:
v(t) = d(x(t))/dt.
Taking the derivative of x(t), we have:
v(t) = a + 2bt - 3ct^2.
To find the velocity when the particle attains zero acceleration, we set the acceleration equal to zero:
a(t) = d(v(t))/dt = 2b - 6ct.
Setting 2b - 6ct = 0 and solving for t, we get:
t = (2b)/(6c) = b/(3c).
Substituting this value of t back into the velocity function, we find:
v(t) = a + 2b(b/(3c)) - 3c(b/(3c))^2
= a + 2b^2/(3c) - b^2/c
= a + (2b^2 - 3b^2)/(3c)
= a - b^2/(3c).
Therefore, when the particle attains zero acceleration, its velocity will be equal to 'a', which is the coefficient of the linear term in the position function.
In other words, the velocity of the particle when it has zero acceleration does not depend on the constants 'b' and 'c' in the position function. It is solely determined by the constant 'a'.
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Complete question:
The position of a particle as a function of time t, is given by x(t)=at+bt
2
−ct
3
where a, b and c are constants. When the particle attains zero acceleration, then its velocity will be?
7.) One gallon is 4 quarts. Kai buys 2.5 gallons of milk at the store. How many quarts of milk did Kai buy?
Answer:
10 quarts
Step-by-step explanation:
UwU whoever answers first gets brainlest (i think thats how its spelled......no ok then)
2+2
( i know the answer is 4 but my sis needs something easy ok good glad to know)
Answer:
4
Step-by-step explanation:
Suppose a firm can sell it's output at p per unit and that its production function is given by y = AK∝Lβ, where K > 0 is capital input measured in machine-hours, L > 0 is labor input measured in worker-hours and A,∝, ß > 0 are parameters. The firm is perfectly competitive and the factor prices are r per hour and w per hour. (a) Show by partial differentiation that the production function has the property of increasing marginal productivity of capital (if ∝ > 1) and of labor (if ß > 1). Explain the economic significance of this. Does it explain why we normally assume that a and 3 are less than 1?
Increasing marginal productivity infers that extra units of capital and labor contribute more to yield, driving productive asset allotment. ∝ and ß < 1 expect reducing returns, adjusting with reality.
The production function has the property of increasing the marginal productivity of capital through Partial Differentiation.To appear that the generation work has to expand the marginal productivity of capital (in case ∝ > 1) and labor (on the off chance that ß > 1), we ought to take fractional subsidiaries with regard to each input calculation. For capital (K), the fractional subsidiary of the generation work is:
\(\dfrac{dy}{dK }= \alpha AK^{(\alpha-1)}L^\beta\)
Since ∝ > 1, (∝ - 1) is positive, which implies that the fractional subordinate \(\dfrac{dy}{dK}\) is positive. This shows that an increment in capital input (K) leads to an increment in yield (y), appearing to expand the marginal efficiency of capital.
Additionally, for labor (L), the fractional subordinate of the generation work is:
\(\dfrac{dy}{dL} = \beta AK^{\alpha}L^{(\beta-1)}\)
Since \(\mathbf{\beta > 1, (\beta-1)}\) it is positive, which implies that the halfway subordinate \(\dfrac{dy}{dL}\) is positive. This demonstrates that an increment in labor input (L) leads to an increment in yield (y), appearing to increase the marginal productivity
The economic importance of increasing marginal productivity is that extra units of capital and labor contribute more to yield as their amounts increment. This suggests that the more capital and labor a firm employments, the higher the rate of increment in yield. This relationship is vital for deciding the ideal assignment of assets and maximizing generation effectiveness.
In most generation capacities, it is accepted that ∝ and ß are less than 1. This presumption adjusts with experimental perceptions and financial hypotheses.
In case ∝ or ß were more prominent than 1, it would suggest that the marginal efficiency of the respective factor increments without bound as the calculated input increments.
In any case, there are decreasing returns to scale, which suggests that as calculated inputs increment, the Marginal efficiency tends to diminish. Therefore, accepting ∝ and ß are less than 1 permits for more reasonable modeling of generation forms and adjusts with the concept of diminishing marginal returns.
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Pablo folds a straw into a triangle with side lengths of 4x2−3 inches, 4x2−2 inches, and 4x2−1 inches. Which expression can be used to find the perimeter of the triangle, and what is the perimeter when x = 1.5?
12x2 −6; 21 inches
12x2; 27 inches
12x2 −6; 30 inches
12x2; 36 inches
The expression that can be used to find the perimeter of the triangle is P = 12x^2 - 6 and the perimeter when x = 1.5 is 21 inches.
What is an expression?An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.
Now it is given that,
Pablo folds a straw into a triangle with side lengths of 4x^2−3 inches, 4x^2−2 inches, and 4x^2−1 inches
Suppose the sides of the triangle are,
L = 4x^2−3 inches
B = 4x^2−2 inches
H = 4x^2−1 inches
Now since the perimeter is the sum of all the sides.
Thus, Perimeter of the given triangle is given as,
P = L + B + H
Putting the values we get,
P = (4x^2−3) + (4x^2−2) + (4x^2−1)
Expanding the brackets we get,
P = 4x^2 − 3 + 4x^2 − 2 + 4x^2 − 1
Taking alike terms together,
P = 4x^2 + 4x^2 + 4x^2 - 3 - 2 - 1
Now solving we get,
P = 12x^2 - 6
Thus is the expression for the perimeter of the triangle.
Now the perimeter when x = 1.5
Put x = 1.5 in the perimeter expression we get,
P = 12(1.5)^2 - 6
Solving we get,
P = 12*2.25 - 6
Solving we get,
P = 27 - 6
Thus we get,
P = 21 inches
this is the required perimeter when x = 1.5
Thus, the expression that can be used to find the perimeter of the triangle is P = 12x^2 - 6 and the perimeter when x = 1.5 is 21 inches.
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Answer:
12x2 −6; 21 inches
Step-by-step explanation:
p+13+q+27 prove that 6=p and q=20
(PLEASE HELP!!) Which is the equation of the line in slope-intercept form?
Answer:
its a
Step-by-step explanation:
Help I need help quickly!!!!
Answer:
y=2x-4
Step-by-step explanation:
Put the steps to finding relative extrema in order.
Make a sign chart for f(X) by splitting a number line by the critical
numbers and the discontinuities
Analyze the result.
⢠+ to - over a critical number is a rel. max.
⢠- to + over a critical number is a rel. min.
Find f'(a)
Find the critical numbers by setting f°(a) = 0 or f'(a) DNE: AND
the discontinuities of the function.
The above steps to finding relative extrema are in order.
What is a sequence?
A sequence is an enumerated collection of objects in which repetitions are allowed. Like a set, it contains members (also called elements, or terms).
Here are the steps to finding relative extrema in order:
Find f'(x), the first derivative of the function.
Find the critical numbers by setting f'(x) = 0 or f'(x) does not exist (DNE). Also, include the discontinuities of the function.
Make a sign chart for f'(x) by splitting a number line by the critical numbers and the discontinuities.
Analyze the sign chart:
If f'(x) changes from positive to negative at a critical number, it is a relative maximum.
If f'(x) changes from negative to positive at a critical number, it is a relative minimum.
Check the endpoints of the interval of interest to see if there are any additional extrema.
Hence, the above steps to finding relative extrema are in order.
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Question 3 Consider the linear function y₁ = β₀ + β₁x₁ + u₁. Suppose that the following results were obtained from a sample with 12 observations: Sample average of y = 10 Sample average of x = 10 Sample variance of y = 25 Sample variance of x = 40 Sample covariance of y and x = 20. Suppose that the CLM Assumptions hold here and answer the following questions. (ii) Estimate the variance of error term, σ² , and Var (B₁). [Hint: See eq. (2.61).]
To estimate the variance of the error term, σ², and Var(B₁), we can use the formulas provided in equation (2.61) from the CLM Assumptions.
In equation (2.61) of the CLM Assumptions, the variance of the error term, σ², is estimated as:
σ² = (SSE / (n - k - 1))
where SSE is the sum of squared errors, n is the sample size, and k is the number of independent variables in the model (excluding the constant term). Since the given equation is a simple linear regression model with one independent variable (x₁), k would be 1.
To calculate SSE, we need to compute the sum of squared differences between the actual y values and the predicted values based on the estimated regression line. However, we do not have the predicted values or the estimated coefficients (β₀ and β₁) provided in the question. Without these values, we cannot calculate the SSE or estimate σ².
Similarly, to estimate the variance of B₁ (Var(B₁)), we need the estimated standard error of B₁. The standard error of B₁ can be calculated using the formula:
SE(B₁) = sqrt(σ² / (n * Var(x₁)))
However, without the estimated coefficients or the predicted values, we cannot calculate the standard error of B₁ or estimate Var(B₁).
Without the necessary values (estimated coefficients or predicted values), we cannot calculate the variance of the error term (σ²) or the variance of B₁ (Var(B₁)). The provided information is insufficient to perform these calculations.
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three points t, u, and v on the number line have coordinates t, u, and v, respectively. is point t between points u and v ?
We can determine coordinates if point t is between points u and v by checking if u < t < v or v < t < u.
To determine if point t is between points u and v, we need to compare their coordinates. If u < v, then point t is between points u and v if and only if u < t < v. On the other hand, if v < u, then point t is between points u and v if and only if v < t < u.
Whether or not point t is between points u and v depends on the relationship between the coordinates of u and v. If u < v, t must fall between them, and if v < u, t must also fall between them.
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