7. A carpenter has a plank of wood that is 121.92 centimeters
long. The carpenter cuts the plank into 4 equal pieces. About
how long is each piece?
about
centimeters

Answer:

The answer is 0.02

Step-by-step explanation:

1/50=0.02

Answer:

$2

Step-by-step explanation:

It says per year so what every 10% of $20 is that will be the answer.

To determine the z-score(s) that cover the "middle 98%" of the normal curve and represent the 98% confidence level (CL), we can use the properties of the standard normal distribution.

The "middle 98%" refers to the area under the normal curve between the z-scores that enclose the central 98% of the distribution. In a standard normal distribution, the mean is 0 and the standard deviation is 1.

Since the distribution is symmetric, we need to find the z-score(s) that correspond to the area of (1 - 0.98) / 2 = 0.01 on each tail of the distribution. The remaining 0.02 is split equally between the two tails.

To find the z-score(s), we can use a standard normal distribution table or a calculator.

Looking up the value of 0.01 in the z-table, we find that the z-score that corresponds to the lower tail is approximately -2.33. This means that 1% of the area lies to the left of z = -2.33.

To find the z-score for the upper tail, we use the symmetry of the distribution. The z-score that corresponds to the upper tail is the negative of the z-score for the lower tail, so it is approximately 2.33.

Therefore, the z-scores that cover the "middle 98%" of the normal curve and represent the 98% confidence level (CL) are approximately -2.33 and 2.33.

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The value of \(\bar{\nabla} \cdot(\bar{\nabla} \phi)\) is \(e^z\cos y\).

The gradient is a vector operation that transforms a scalar function into a vector with a magnitude equal to the highest rate of change of the function at the gradient's point and a direction pointing in the same direction.

To find \(\bar{\nabla} \cdot(\bar{\nabla} \phi)\), we need to calculate the divergence of the gradient of the function ϕ.

The gradient of ϕ is given by:

\(\bar{\nabla} \phi\) = (∂x/∂ϕ​, ∂y/∂ϕ, ∂z/∂ϕ)

Let's calculate the partial derivatives of ϕ with respect to each variable:

\(\frac{\partial \phi}{\partial x}=e^{z}\sin y\)

\(\frac{\partial \phi}{\partial y}=xe^{z}\cos y\)

\(\frac{\partial \phi}{\partial z}=xe^{z}\sin y\)

Now, we can find the divergence of \(\bar{\nabla} \phi\) by taking the sum of the partial derivatives:

\(\bar{\nabla} \cdot(\bar{\nabla} \phi)\) =  \(\frac{\partial}{\partial x}(e^z\sin y)+\frac{\partial}{\partial y}(xe^z\cos y)+\frac{\partial}{\partial z}(xe^z\sin y)\)

Simplifying each partial derivative:

\(\bar{\nabla} \cdot(\bar{\nabla} \phi)\) = \(e^z\cos y\) + \((-xe^z\sin y)\) + \((xe^z\sin y)\)

Combining like terms, we find:

\(\bar{\nabla} \cdot(\bar{\nabla} \phi)\) = \(e^z\cos y\)

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The complete question is:

Given that \(\phi(x, y, z)=x e^{z} \sin y\) Find \(\bar{\nabla} \cdot(\bar{\nabla} \phi)\).

Answer: D. -2, 0, and 1

Step-by-step explanation:

edge2021

The list that represents the values of x for which the function has a discontinuity is 0 and 1

The function is given as:

\(f(x)=\dfrac{1}{x(x-1)}\)

Start by setting the denominator to 0

x(x -1) = 0

Split the equation

x = 0 and x -1 = 0

Solve for x

x = 0 and x = 1

Hence, the list that represents the values of x for which the function has a discontinuity is 0 and 1.

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Answer: (3,-6)

Step-by-step explanation:

Answer:

hey, i tried my best with this. lmk if its correct.

Step-by-step explanation:

(its the bold answer btw)

Answer:

Step-by-step explanation:

Properties used:

Answer:

w = 0.5

Step-by-step explanation:

w represents the width of the frame

Area of the picture and the frame is

(2 + 2w)2

Area of picture is

22

Area of the frame is

(2 + 2w)2 - 4 = 5

(2 + 2w)2 = 9

2 + 2w = 3

2w = 1

The length of the sides of the frame is 2.5 ft

Area is the term used to define the amount of space taken up by a 2D shape or surface.

Given that, you are making a square frame of uniform width for a square picture that has side lengths of 2 feet, the total area of the frame is 5 square feet.

Since, the width of picture is uniform and is = 2ft

Therefore, width of frame = 2ft

Area of frame = length*width

5 = l*2

l = 5/2 = 2.5ft

Hence, The length of the sides of the frame is 2.5 ft

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The price elasticity of demand for x is -1.25.

Price elasticity of demand (PED) is a measure of how responsive quantity demanded is to changes in price. It is calculated as follows:

```

PED = (% change in quantity demanded)/(% change in price)

```

In this case, the price of x increases by 12% and the quantity demanded decreases by 15%. Therefore, the PED is -1.25.

A PED of -1.25 means that the quantity demanded is relatively inelastic. This means that a change in price will have a relatively small effect on quantity demanded.

The demand for x is a normal good. This means that as the price of x increases, the quantity of value demanded of x will decrease.

The demand for x is relatively inelastic. This is because the PED is -1.25, which is less than -1. A PED of -1 or less indicates that the demand is inelastic.

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Answer:

The Number of students:

A van can carry = x = 8 students

A bus can carry = y = 51 students

Step-by-step explanation:

Let us represent

Number of students:

A van can carry = x

A bus can carry = y

School A rented and filled 5 vans and 9 buses with 499 students.

5x + 9y = 499.... Equation 1

School B rented and filled 10 vans and 9 buses with 539 students.

10x + 9y = 539..... Equation 2

Combining both Equations

5x + 9y = 499.... Equation 1

10x + 9y = 539..... Equation 2

Using Elimination method

Subtract Equation 2 from 1

-5x = - 40

x = -40/-5

x = 8 students

Solving for y using Equation 1

5x + 9y = 499.... Equation 1

5 × 8 + 9y = 499

40 + 9y = 499

9y = 499 - 40

9y = 459

y = 459/9

y = 51 students

Therefore,

The Number of students:

A van can carry = x = 8 students

A bus can carry = y = 51 students

Answer:

have a nice day:)

Step-by-step explanation:

reminder to drink water and have a snack :)

Answer:

\(\frac{2x^{2} }{{25} } + \frac{2y^{2}}{{25} } = 1\)

Step-by-step explanation:

Since the required hyperbola has its vertex at (5,0), its transverse axis is on the x-axis and center at (0,0).

So, we use the equation in standard form

\(\frac{x^{2} }{a^{2} } + \frac{y^{2} }{b^{2} } = 1\)

Also, since the path of the space probe gets closer to y = -x, this is the asymptote to the hyperbola.

Our standard asymptote equation is y = ±bx/a taking the negative sign and comparing with y = -x,

-bx/a = -x ⇒ b/a = 1 ⇒ a = b

Also, the coordinate of the vertex (c, 0) = (5, 0) and c² = a² + b²

substituting c = 5 and a = b into the equation, we have

c² = a² + b²

5² = a² + a²

25 = 2a²

a² = 25/2

a = √(25/2)

a = ±5/√2

rationalizing, we have

a = ±5/√2 × √2/√2

a = ±5√2/2

Since a = b, b = ±5√2/2

Inserting a and b into the equation for the hyperbola, we have

\(\frac{x^{2} }{a^{2} } + \frac{y^{2} }{b^{2} } = 1\\\frac{x^{2} }{(\frac{5\sqrt{2} }{2} )^{2} } + \frac{y^{2} }{\frac{5\sqrt{2} }{2} ^{2} } = 1\\\frac{x^{2} }{\frac{25 X 2 }{4} } + \frac{y^{2} }{\frac{25X2 }{4} } = 1\\\frac{x^{2} }{\frac{25}{2} } + \frac{y^{2} }{\frac{25}{2} } = 1\\\frac{2x^{2} }{{25} } + \frac{2y^{2}}{{25} } = 1\)

So, the required equation is

\(\frac{2x^{2} }{{25} } + \frac{2y^{2}}{{25} } = 1\)

Answer:

Option (B)

Step-by-step explanation:

Given sequence is 45, 135, 405, 1215, 3645..........

Since it's a geometric sequence,

Common ratio of each successive term to the previous term

r = \(\frac{135}{45}=3\)

First term of the sequence 'a' = 45

Explicit formula of a geometric sequence will be,

\(a_n=a(r)^{n-1}\)

\(a_n=45(3)^{n-1}\)

Recursive formula of this sequence will be,

\(a_n=3(a_{n-1})\), \(a_1=45\)

Therefore, Option (B) will be the answer.

Given the hypotheses and the significance level of 0.05, we can use a two-tailed test with a critical value of ± 2.131. The decision rule is to reject the null hypothesis if the test statistic falls outside this range. To compute the test statistic, we use the formula (sample mean - hypothesized mean) / (standard deviation / square root of sample size). Substituting the given values,  If the null hypothesis is true and the population mean is μ, then the test statistic follows a t-distribution with 15 degrees of freedom.

We can compare the calculated test statistic to the critical values and decide whether to reject or fail to reject the null hypothesis. If the test statistic falls within the critical range, we fail to reject the null hypothesis. Otherwise, we reject the null hypothesis in favor of the alternative hypothesis.

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the correct answer is option a: 10/3, which represents the mean and standard deviation of the scaled scores on the WISC-V.

Scaled scores are used to compare an individual's performance on the WISC-V to the performance of other individuals in the same age group. The scaled scores are derived from raw scores and are standardized to have a mean and standard deviation that are predetermined.The mean of scaled scores on the WISC-V is set to 10. This means that an average performance is represented by a scaled score of 10.

The standard deviation of scaled scores on the WISC-V is set to 3. The standard deviation measures the spread or variability of scores around the mean. A standard deviation of 3 indicates that most scores fall within 3 points above or below the mean of 10.

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The cοrrect answer tο this questiοn is x = 89°.Tο sοlve this questiοn, we must first calculate the sum οf the interiοr angles οf a clοsed figure, which is always equal tο 360°.

Interiοr angles are angles inside a clοsed shape such as a triangle, quadrilateral, pentagοn, hexagοn οr any οther pοlygοn. These angles are fοrmed by twο lines that intersect inside the shape.

Sum of Interior angle of polygons is given by:

(n − 2) × 180°

Here, n is number of sides = 6

So,

(6 − 2) × 180°

720°

That gives us

149° + 161° + 135° + 59° +127 + x = 720°

631 + x = 720°

x = 720° - 631

x = 89°

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Answer:

\(6^\frac{1}{10}\)

If a cylinder has a volume of 600 cubic inches, and we want to find the volume of a cone with the same diameter and height as the cylinder, we can use the formula for the volume of a cone.

The formula for the volume of a cone is given as:

\(V = (1/3) * \pi * r^2 * h,\)

where V is the volume, π is a mathematical constant approximately equal to 3.14159, r is the radius of the base of the cone, and h is the height of the cone.

In this case, since the cylinder and cone have the same diameter, the radius of the cone's base will be half of the radius of the cylinder's base. Let's assume the radius of the cylinder's base is r_cylinder.

So, the radius of the cone's base will be r_cone = r_cylinder / 2.

The height of the cone will be the same as the height of the cylinder, denoted as h_cylinder.

Now, let's substitute these values into the volume formula for the cone:

V_cone = (1/3) * π * (r_cone)^2 * h_cylinder

      = (1/3) * π * (r_cylinder/2)^2 * h_cylinder

      = (1/3) * π * (r_cylinder^2 / 4) * h_cylinder

      = (π/12) * r_cylinder^2 * h_cylinder.

Since we know the volume of the cylinder is 600 cubic inches, which is equal to the volume of the cone, we have:

600 = (π/12) * r_cylinder^2 * h_cylinder.

From this equation, we can't directly calculate the specific values of r_cylinder and h_cylinder. We would need additional information or constraints to solve for them.

However, using the given information, we can conclude that the volume of the cone with the same diameter and height as the cylinder will also be 600 cubic inches, assuming the cylinder and cone share the same dimensions.

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Answer:

V=14

Step-by-step explanation:

Answer: -5/4

Step-by-step explanation:

Answer:

= -5/4

Step-by-step explanation:

To find the slope, we can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( -9 - -4)/( -4 - -8)

   = ( -9 +4)/( -4 +8)

    = -5/4

Answer:

the answer to the inequality is C. g<1

The change in the price level from the first to the second month is 106.4

Price index: Price index, measure of relative price changes, consisting of a series of numbers arranged so that a comparison between the values for any two periods or places will show the average change in prices between periods or the average difference in prices between places.

A college student purchases 4 movie tickets for $7 each, 2 CDs for $13 each, and 20 gallons of gasoline at $2 a gallon during the base period.

Gas will cost $2.25 per gallon in the upcoming month, CDs will cost $12.50 each, and cinema tickets will cost $7.50

The price index

=(price in current year/price in last year) x 100

=100/94 x 100

=106.38 or 106.4

The change in the price level from the first to the second month is 106.4

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The given double integral is ∫ ∫ (x² + y²)dx dy, and we need to evaluate it over the region in the positive quadrant where x+y≤1.

To evaluate this double integral, we can first determine the limits of integration for both x and y based on the given region. In the positive quadrant, x and y both range from 0 to 1.

Now, integrating the inner integral with respect to x, we get:

∫ (x² + y²)dx = (1/3)x³ + y²x + C1,

where C1 is the constant of integration.

Next, we integrate the resulting expression with respect to y:

∫ [(1/3)x³ + y²x + C1] dy = (1/3)x³y + (1/3)y³x + C1y + C2,

where C2 is another constant of integration.

Finally, we evaluate this double integral over the given region by substituting the limits of integration:

∫∫ (x² + y²)dx dy = ∫[0 to 1] ∫[0 to 1-x] (x² + y²)dy dx.

Performing the integration, we can find the numerical value of the double integral within the given region.

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How you do it is add the 44% of 132 to 132 (132 + (132×44%))

First you have to find out how much 44% is. Change it into decimal form (0.44) and then multiply the two together. 132 × 0.44 is 58.08 miles. Then you add that to the rest of the trip, 132 miles. (132 + 58/08 is 190.08)

No. of concert the stadium host to  earn the revenue of 200000 is 8.

acc to our question-

hence,No. of concert the stadium host to  earn the revenue of 200000 is 8.

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Answer:

this table is linear

Step-by-step explanation:

it's linear because there is a common difference of  -4

Answer:

the answer on 1. is correct

number 2. is -3 not 3

The set of natural numbers {1,2,3,4,...} and the set of positive even numbers {2, 4, 6, 8, . . .} are different because natural numbers include all positive integers, while even numbers only include those that are divisible by 2 with no remainder.

Two important sets of numbers are natural numbers and even numbers. The set of natural numbers consists of numbers that are not negative, beginning with 1 and continuing indefinitely with 2, 3, 4, and so on.

The set of even numbers, on the other hand, consists of numbers that are divisible by 2, beginning with 2, 4, 6, and so on.

Positive integers refer to natural numbers. Any integer greater than zero is a positive integer.

Zero is not a positive integer. Hence, the set of natural numbers consists of {1,2,3,4,…}

On the other hand, the set of even numbers consists of {2, 4, 6, 8, . . .}.

Therefore, {1,2,3,4,…} and {2, 4, 6, 8, . . .} are two different sets of numbers where one set is composed of positive integers (natural numbers) and the other is composed of positive even numbers.

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The value of the expression 0.00000397*520400000 is equal to

2*\(10^{4}\)+66 or 2066.

Given an expression be 0.00000397*520400000.

We are required to first convert each number into scientific notation

and round the decimal part to the nearest whole number.

Expression is basically a combination of numbers, fraction, coefficients, symbols that are usually not found in equal to form. We can find its value by putting the value of variable present in it or simply solving the numbers and symbols.

0.00000397*520400000=397/\(10^{8}\) * 5204*\(10^{5}\)

=(397*5204)/\(10^{3}\)

=2,065.988

=2066

=2*1033

=2*(\(10^{4}\)+33)

=2*\(10^{4}\)+66

Hence the value of the expression is equal to 2*\(10^{4}\)+66 or 2066.

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