a meter is to be bolted to a switchboard. the meter studs that will fit into the holes on the switchboard are 0.4365 inch in diameter. express the hole sizes in decimal form if they are to be 1/32 inch larger in diameter than the studs.

The triangular parcel of land has a total area of 299,294.07 square feet.

To find the area of the triangular parcel of land, we can use Heron's formula, which is based on the lengths of the three sides:

Area = √(s(s-a)(s-b)(s-c))

where a, b, and c are the lengths of the sides, and s is the semiperimeter (half of the perimeter):

s = (a + b + c) / 2

Substituting the given values, we get:

s = (860 + 820 + 1038) / 2

s = 1759

Area = √(1759(1759-860)(1759-820)(1759-1038))

Area = √(1759*899*939*721)

Area = 299294.07

Rounding to two decimal places, the area of the triangular parcel of land is approximately 299,294.07 square feet.

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The correct answer is D) parameter. A parameter is a measurable quantity that is inherent in the problem and is usually set by external factors. A measurable quantity that is inherent in the problem is called a D) parameter.

A parameter is a measurable and fixed value that characterizes a particular aspect of a problem, while a variable can change during the course of the problem-solving process. Decision variables are the unknowns that you need to find in order to optimize a problem, and uncontrollable variables are factors that cannot be controlled during an experiment or problem-solving process. An algorithm is a step-by-step procedure to solve a problem, and an enumeration variable is not a relevant term in this context. Parameters are used to define the boundaries of a problem and are often used in mathematical models to represent real-world situations. They differ from variables, which can change and are often used to represent unknowns in a problem, and from uncontrollable variables, which cannot be directly controlled or manipulated by the decision-maker.

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Answer is  ∬1 sin(y) dy dx = -x cos(y) + g(y) + Cx + D,

To evaluate the double integral ∬1 sin(y) dy dx, we need to integrate with respect to y first and then integrate the result with respect to x.

Let's start by integrating with respect to y:

∫sin(y) dy = -cos(y) + C,

where C is the constant of integration.

Now, we have:

∬1 sin(y) dy dx = ∫[-cos(y) + C] dx.

Since we are integrating with respect to x, the integral of a constant (C) with respect to x is simply Cx. Therefore, we have:

∬1 sin(y) dy dx = ∫[-cos(y)] dx + ∫C dx.

The integral of -cos(y) with respect to x is:

-∫cos(y) dx = -x cos(y) + g(y),

where g(y) is the function of integration with respect to y.

So now we have:

∬1 sin(y) dy dx = -x cos(y) + g(y) + Cx + D,

where D is another constant of integration.

Since we don't have any limits of integration specified, we have indefinite integrals, and we cannot simplify the expression further without additional information or specific limits of integration.

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Answer:

25 minutes

Step-by-step explanation:

50÷10=5

5×5=25

hopefully this helps :)

Could be the two

For example for less than we will obtain -12+8x<-44

For the greater than -12+8x>-44

The triangle HRP is similar to triangle HSA by  SAS (Side-Angle-Side) similarity.

Similar triangles have the same corresponding angle measures and proportional side lengths.

The triangle similarity criteria are:

From the given diagram, we can see that the bases of the two triangles are proportional and they have equal corresponding angles.

Thus, going by the criteria for similarity of triangles, we can conclude that the two triangles are similar by SAS since the lengths of each side of the triangle are of equal proportion.

in triangle HRP, Length HP = (25 + 107) = 132

length HR = 72 + 16 = 88

in triangle HSA, HS = 107 and HA = 72

HP/HS = HR/HA

132/107 = 88/72

1.2 = 1.2

So the answer will be;

Side - Angle - Side ( SAS)

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The values that a correlation r can possibly take are -1  ≤  r  ≤ 1. Thus, option C is correct as per the correlation relation.

Correlation is a statistical measurement that describes the extent to which two variables are linearly related to each other in positive and negative directions. The correlation coefficient is denoted by r.

The value of correlation r can range from -1 to 1. Here,

-1 indicates: a perfect negative correlation

0 indicates:  no linear correlation

1 indicates: a perfect positive correlation

Therefore, we can conclude that the values that a correlation r can possibly take are between -1 ≤ r ≤ 1.

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a) It would take Anya approximately 4 years to accumulate $40,000 with an annual interest rate of 12%. b) Anya must earn an annual rate of return of approximately 12.6% to save $40,000 in 3 years.

a) To calculate the number of years it would take Anya to accumulate $40,000, we can use the future value formula for compound interest:

Future Value = Present Value * (1 + interest rate)ⁿ

Where:

Future Value = $40,000

Present Value = $25,000

Interest rate = 12% = 0.12

n = number of years

Substituting the given values into the formula, we have:

$40,000 = $25,000 * (1 + 0.12)ⁿ

Dividing both sides of the equation by $25,000, we get:

(1 + 0.12)ⁿ = 40,000 / 25,000

(1.12)ⁿ = 1.6

To solve for n, we can take the logarithm of both sides of the equation:

n * log(1.12) = log(1.6)

Using a calculator, we find that log(1.12) ≈ 0.0492 and log(1.6) ≈ 0.2041. Therefore:

n * 0.0492 = 0.2041

n = 0.2041 / 0.0492 ≈ 4.15

b) To calculate the required rate of return for Anya to save $40,000 in just 3 years, we can rearrange the future value formula:

Future Value = Present Value * (1 + interest rate)ⁿ

$40,000 = $25,000 * (1 + interest rate)³

Dividing both sides of the equation by $25,000, we have:

(1 + interest rate)³ = 40,000 / 25,000

(1 + interest rate)³ = 1.6

Taking the cube root of both sides of the equation:

1 + interest rate = ∛1.6

Subtracting 1 from both sides, we get:

interest rate = ∛1.6 - 1

Using a calculator, we find that ∛1.6 ≈ 1.126. Therefore:

interest rate = 1.126 - 1 ≈ 0.126

To express the interest rate as a percentage, we multiply by 100:

interest rate = 0.126 * 100 = 12.6%

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Answer:

the answer is 2 on the number line.

Step-by-step explanation:

-8 + 10 = 2

$42 is the amount Zahra will save each year

How to find how much Zahra will save every year?

Given that:

Zahra does 1 load of wash per day

Hot wash & warm rinse = 71 cents per load

Warm wash & cold rinse = 25 cents per load

Right now three-fourths of all her laundry is done with the hotter water

Right now:

cost of hot wash in a year = 0.71 x 3/4 x 365 = $194.3625

cost of warm wash in a year = 0.25 x 1/4 x 365 = $22.8125

Total cost =  $194.3625 + $22.8125 = $217.175

After the cut:

cost of hot wash in a year = 0.71 x 1/2 x 365 = $129.575

cost of warm wash in a year = 0.25 x 1/2 x 365 = $45.625

Total cost =  $129.575 + $45.625 = $175.2

Savings = Total cost of right now - Total cost after the cut

Savings = $217.175 - $175.2 = $41.975 = $42

Note: we have 365 days in a year

Therefore, Zahra will save $42 every year. Option b. is the answer

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Answer:

1. superscript number

2. exponential growth

3. exponential decay

Step-by-step explanation:

In an exponential expression, the exponent (superscript) number indicates how many times the factor (i.e., the base number) is repeated. For example, the expression 2ⁿ indicates that the base number (2) is repeated n times.

The exponential growth indicates how a specific quantity increases over time, thereby the curve drawing an exponential function. The exponential growth is produced when the rate of increase of a quantity in a given time is directly proportional to the quantity itself.

The exponential decay describes how a specific quantity proportionally decreases across time, thereby showing a percentage decrease rate over time.

Answer:

1. superscript number

2. exponential growth

3. exponential decay

Step-by-step explanation:

Answer:

look at the picture i have sent

and thank you for your points

The range of a function can vary depending on the specific function and its domain. The range for the function f(x) based on the given terms can be identified, we need to consider the intervals mentioned.

The range of a function represents all the possible values that the function can take.

From the given terms, the range can be identified as follows:

1. The range includes all real numbers from negative infinity to infinity: (-∞, ∞).
2. The range also includes all real numbers greater than negative 2: (-2, ∞).
3. The range includes all real numbers greater than or equal to negative 2: [-2, ∞).
4. The range includes all real numbers less than negative 2: (-∞, -2).
5. The range includes all real numbers between negative 2 and 0, excluding 0: (-2, 0).
6. The range includes all real numbers greater than 0: (0, ∞).

Combining these intervals, the range for the function f(x) is (-∞, -2) ∪ (-2, 0) ∪ (0, ∞).

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Answer:

Step-by-step explanation:

First find the LCM and it is going to be 18.

Answer:

25(1) + 25(4)

Step-by-step explanation:

25 is the greatest common factor of both 25 and 100.

If you distribute it out, 25 x 1 = 25 and 25 x 4 = 100

The cost of 1 crate of egg if each egg cost 80 pesewas is 2,400 pesewas

A crate of egg comprises of 30 eggs

Cost of each egg = 80 pesewas

Cost of 1 crate of egg = Cost of each egg × Number of eggs

= 80 × 30

= 2,400 pesewas

Therefore, one crate of egg cost 2,400 pesewas

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Verify the divergence theorem for the given region W, boundary ∂W oriented outward, and vector field F. W = [0, 1] ✕ [0, 1] ✕ [0, 1] F = 2xi + 3yj + 2zk

The divergence theorem is correct and verified by using the formula S = ∫∫(F . n) dS = ∫∫∫(∇ . F) dV where,∇ . F is the divergence of the given vector field.

Divergence theorem: The divergence theorem states that the flux of a vector field through a closed surface is equal to the volume integral of the divergence over the region enclosed by the surface. Here, it is given to verify the divergence theorem for the given region W, boundary ∂W oriented outward, and vector field F, which is given as,W = [0, 1] x [0, 1] x [0, 1]F = 2xi + 3yj + 2zkHere, we need to find the flux of the given vector field through the boundary of the given region W using the divergence theorem. We know that the flux of a vector field F through the closed surface S is given by, Flux of F through S = ∫∫(F . n) dS Where n is the outward pointing unit normal to the surface S.In the divergence theorem, the flux of F through the closed surface S is given by, Flux of F through S = ∫∫(F . n) dS = ∫∫∫(∇ . F) dV where,∇ . F is the divergence of the given vector field F and V is the volume enclosed by the surface S.Now, let us find the divergence of the given vector field F, which is given by,F = 2xi + 3yj + 2zk

∇ . F = ∂(2x)/∂x + ∂(3y)/∂y + ∂(2z)/∂z= 2 + 3 + 2= 7

Therefore, the divergence of the given vector field F is 7.

Now, let us find the volume of the given region W using the triple integral, Volume of W = ∫∫∫dV= ∫[0,1]∫[0,1]∫[0,1]dxdydz= ∫[0,1]∫[0,1]1dx dy= ∫[0,1]dx= 1

Therefore, the volume of the given region W is 1. Now, using the divergence theorem, we can find the flux of the given vector field F through the boundary of the given region W, which is given by, Flux of F through the boundary of W = ∫∫(F . n) dS = ∫∫∫(∇ . F) dV= ∫∫∫ 7 dV= 7 * Volume of W= 7 * 1= 7. Therefore, the flux of the given vector field F through the boundary of the given region W is 7.

Hence verified.

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Answer: A) No, because it has a constant rate of change

=============================================================

Explanation:

Each time x goes up by 1, y drops by 2.

This means,

slope = rise/run

slope = (change in y)/(change in x)

slope = (y drops by 2)/(x goes up by 1)

slope = -2/1

slope = -2

-----------

We can pick two points from the table to plug into the slope formula. I'll pick the first two rows

m = slope

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

m = (2-4)/(7-6)

m = -2/1

m = -2

If you tried every pair of rows possible for this table, you'll get the same slope each time. This is why the rate of change is constant.

This means the data is linear instead of nonlinear. Plotting the points leads to a single straight line going through all four points. See the diagram below. The graph was made with GeoGebra.

The equation of that red line is y = -2x+16 which is equivalent to 2x+y = 16.

In the graph, going from A to B has us go down 2 and to the right 1, which is one visual way of seeing the slope is -2/1 = -2.

Answer:

The 3-liter is a better deal.

You will get each liter for $1.05 for the 3-liter while you are paying $1.06 for the 2-liter.

Using substitution method, the cost of hotel per night is $ 85

Let hotel cost per night = x

Let car rental per day = y

4x + 2y = 500 ____(1)

4x + 5y = 740 ____(2)

Solving for x in the equation

Equation (1) - (2)

-3y = - 240

y = 80

Substitute the value of y in (1)

4x + 2(80) = 500

4x + 160 = 500

4x = 500-160

4x = 340

x = $85

Therefore, hotel cost per night is $85

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Answer:

1.06

Step-by-step explanation:

cos41⁰ = 0.8 ÷ X

X = 0.8 ÷ cos41⁰

Answer:

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a right triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

x = Hyp  (for this question)

Cos(41) = 0.8 / Hyp

use your algebra skillz

Hyp = 0.8 / Cos(41)

use your calculator to fund Cos(41) into 0.8

Hyp = 1.060010395  (that's all the decimal places my calc would go out to )

x = 1.1  ( rounded to nearest 10th )

The equation representing the least amount of money needed is 23x + 15.

What is an equation?

An equation is a statement stating the equality of two expressions containing variables and/or numbers. The attempts to logically resolve equations, which are essentially questions, have been the basic driving forces behind the development of mathematics.

Let the number of people be x.

Cost of tickets = $12x

Cost of food = $11x

Cost of large kettle corn = $15

Now, on adding all the values, we get the equation as

M = 12x + 11x + 15

M = 23x + 15

Hence, the equation representing the least amount of money needed is 23x + 15.

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Answer:

X^13Y^12Z^17

Step-by-step explanation:

Answer:

x^13y^12z^17

Step-by-step explanation:

-(-xy^2z^3)^5(x^4yz)^2

-(-x)^5 x y^10z^15 x^8y^2z^2

calculate the product

-(-x)^5 x x^8y^12z^17

a negative base raised to an odd power equals a negative

x^5 x x^8 y^12 z^17

x^13 y^12 z^17

Answer:

1.  a b d  e

2.  b c d e

3.  a  d  e

Step-by-step explanation:

Right angles: angles that are 90 degrees

Acute angles: angles that are between 90 to 0 degrees

Obtuse angles: angles that are greater than 90 degrees

Question 1: Name a RIGHT ANGLE:

    Let's take a look at option 1. We're looking for a combination of the letters A, G, and F. If you look at them in order, you will see a square where G is. A square in the center of the angle indicates a right angle, making this selection correct.

    Now lets look at A, F, and D. There is a square at the intersection point, indicating this is a right angle. This is because the E and G line is exactly 90 degrees.

    Now lets look at G, F, and D. This option does not have a square next to the middle letter (F), therefore it is not a right angle. This is an obtuse angle as the angle is more than 90°.

    Looking at B, F, and A, there is a square next to the middle number, therefore this is a right angle. This angle is exactly 90°

    For the last option, I, A, and G, This is a right angle. The degree of this angle is 90°, making this angle right.

    Option 1, 2, 4, and 5 is correct.

Question 2:

    Lets look at option 1, EAF is not an acute angle, yet an obtuse angle

    Option 2, GBD, is an acute angle, as it is less than 90 degrees.

    Option 3, FGA, is a right angle, as it is exactly 90 degrees.

    Option 4, FDA, is an acute angle, because it is less than 90 degrees.

    Option 5, DAF, is an acute angle, because it is less than 90 degrees.

    Option 2, 4, and 5 are correct.

Question 3:

    Option 1: EAF, is an obtuse angle, as it is more than 90 degrees.

    Option 2, EBF, is an acute angle, as it is less than 90 degrees.

    Option 3, DAF, is and acute angle, as it is less than 90 degrees.

    Option 4, CDA, is an obtuse angle, as it is more than 90 degrees.

    Option 5, GFD, is an obtuse angle, as it is more than 90 degrees.

    Option 1, 4, and 5 are correct.

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Answer:

18x18 cm

Step-by-step explanation:

This problem translates to the greatest common factor (GCF) of 72 and 90, which is 18.

The factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

The factors of 90 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Then the greatest common factor is 18.

4x18 = 72

5x18 = 90

so with 4x5=20 pieces of paper, the boy can be covered. (Boy?)

Answer:

(6x-1)(3x-2)

Step-by-step explanation:

18x²-15x+2 = 18x²-12x-3x+2= 6x(3x-2)-1(3x-2)=(6x-1)(3x-2)

On solving the provided question, we can say that  in this parallelograms, x = 22° and 37°.

In Euclidean geometry, a parallelogram is a simple quadrilateral with two sets of parallel sides. Both sets of opposite sides in a quadrilateral known as a parallelogram are parallel and equal.

Parallelograms come in four varieties, including three special varieties. The four different shapes are parallelograms, squares, rectangles, and rhombuses. A quadrilateral becomes a parallelogram when two sets of its sides are parallel. The opposing sides and angles of a parallelogram have the same length. The inner angles are additional angles on the same side of the horizontal line. There are 360 internal angles altogether.

here, in this parallelograms

1. angle c + angle d = 180     [Supplementary angles]

  5x + 70 = 180

  5x = 110

   x = 22°

2. Opposite angles of a parallelogram are same

⇒ 62 = x + 25

⇒ x = 37°

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Answer:

I am assuming the 8:15 was a typo and was actually supposed to be a 8:14. Anyways, they are equivalent because they all make 4:7 when simplified.

Step-by-step explanation:

4:7 = itself at this point, as they don't have numbers that can simplify each other on both sides, unless you are looking for a decimal answer.

8:14 = 4:7 <- You can divide the 8 and 14 by two. 8 divided by 2 is four, and 14 divided by 2 is 7.

16:28 = 4:7 <- You can divide the 16 and the 28 by four. 16 divided by 4 is 4, and 28 divided by 4 is 7.

20:35 = 4:7 <- You can divide both sides by 5. 20 divided by 5 is 4, and 35 divided by 5 is 7.