A picture with a width of 8 inches and a length of 12 inches must be enlarged so that the length is 48 inches. What will the width equal?

A 95% % lower confidence bound for the true average proportional limit stress of all such joints is 8.01.

In the given question, a sample of 20 joint specimens of a particular type gave a sample mean proportional limit stress of 8.52 mpa and a sample standard deviation of 0.78 mpa.

We have to calculate and interpret a 95% lower confidence bound for the true average proportional limit stress of all such joints.

Sample size: n = 13

Sample mean: x’ = 8.52 mps

Sample standard deviation: s = 0.78 mps

95% lower confidence bound for the true average proportional limit stress of all such joints

Level of Significance (α) = 1-95% = 5% = 0.05

α/2 = 0.025

So the value of t(α/2) = 1.8

The confidence interval = x’± t(α/2)*s/√n

Now putting the value:

The confidence interval = 8.41± (1.8)*(0.78)/√12

The confidence interval = 8.41± (1.8)*(0.226)

The confidence interval = 8.41± 0.4068

The confidence interval = (8.41- 0.4068, 8.41+ 0.4068)

The confidence interval = (8.01, 8.82)

A 95% % lower confidence bound for the true average proportional limit stress of all such joints is 8.01.

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The right question is:

A sample of 12 joint specimens of a particular type gave a sample mean proportional limit stress of 8.41 mpa and a sample standard deviation of 0.78 mpa.

Calculate and interpret a 95% lower confidence bound for the true average proportional limit stress of all such joints. (Round your answer to two decimal places.)

Answer:

sec csc(theta) = 6/4

Step-by-step explanation:

Answer:

41

Step-by-step explanation:

Use the associative property of addition to rewrite 9+12+20 .

20+(11+5

Is a way to rewrite the associative property of 9+12(+20)

Answer:

The critical numer is x = -3/10

Step-by-step explanation:

We need to find the derivative of the function and then equal to zero to get the values of x.

The function is:

\(f(x)=10x^{2}+6x\)

Let's take the derivative whit respect of x and equal to zero.

\(f'(x)=20x+6\)

\(0=20x+6\)

Now, we just need to solve it for x.

\(x=-\frac{3}{10}\)

The critical numer is x = -3/10

I hope it helps you!

Answer:

Step-by-step explanation:

18 * 10 - 8 * 4    (remember pemdas)

180 - 32 =

148 cm²

Answer:

C. a quadratic function with a negative value of a

Step-by-step explanation:

It is likely that a quadratic function with a negative value of a would be the best model for this data, as it would represent a parabolic shape that can accommodate a downward trend, followed by an upward trend, in the stock price. The value of "a" determines the direction of the parabola, with a negative value resulting in a downward-facing parabola, which is appropriate for a stock price that starts low and increases over time. This type of function would provide a good fit for the data, especially if there are fluctuations or ups and downs in the stock price over time.

Answer:

here I put this link its a calculator for volumes and stuff  https://www.calculatorsoup.com/calculators/geometry-solids/volume.php

Step-by-step explanation:

hoped this helped

The graph's curve "moves to the left/right/up/down," "expands or compresses," or "reflects" when a function is transformed.

When a function is transformed, the graph's curve either "moves to the left/right/up/down," "expands or compresses," or "reflects." For instance, by simply moving the graph of the function g(x) = x² up by 3 units, the graph of the function f(x) = x² + 3 is obtained.

Given that the transformation of the coordinate is x,y ( x+2,y-3). Let the coordinate of the point be ( 2, 2 ).

The translation of the point will be:-

( 2 , 2 ) = ( 2 + 2 , 2 - 3 )

( 2 , 2 ) = ( 4 , -1 )

The graph of the translation of the point is attached with the answer below.

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Few families can survive on a single salary is true statement

Many families rely on dual incomes to make ends meet, especially in areas with high living costs.

However, there are still many families that rely on a single salary to support themselves.

While it may be challenging to make ends meet on a single salary, it is still possible for families to survive and even thrive in these circumstances.

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9514 1404 393

Answer:

Step-by-step explanation:

A) If we let x represent "a number", then "seven times a number" is 7x. When 5 is subtracted from that, we have ...

  7x -5 . . . . . 5 subtracted from 7 times a number

This is said to be 9, so ...

  7x -5 = 9 . . . . . . . 5 from 7 times a number is 9. Your equation.

__

B) To solve this, we can add 5 to both sides. This eliminates the constant term we don't want on the left.

  7x = 14

Now, we can divide by 7, the coefficient of x that we don't want.

  x = 14/7

  x = 2

The value of y is 25° using the secant - secant theorem.

Here given is a circle.

We have to find the value of y, which is the angle formed by two secants outside the circle.

Consider the 2 chords which are intersected at a point on a circle.

This angle formed at the intersection is inscribed angle.

Inscribed angle = 15°

Central angle of an arc is twice the measure of the inscribed angle formed by the end points of the arc.

Measure of the arc formed by these chords = 2 × 15° = 30°

We have the theorem that, "measure of angle formed by two secants outside the circle is half of the difference of their intercepted arcs."

Using this,

y = (80° - 30°) / 2

  = 25°

Hence y =  25°.

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The volume of the figure, by splitting it into two cuboids comes to be 3300 ft³.

The volume of a cuboid is the product of its three dimensions i.e. length, breadth, and height.

Let us split the given figure into two cuboids

So, the volume of the figure will be the sum of the volume of both the cuboids.

So, the volume of the cuboid with dimensions 20 ft x 25 ft x 5ft

= 20 x 25 x 5

=2500 ft³.

The volume of the cuboid with dimensions  4 ft x 25ft x 8ft

=4 x 25x 8

=800 ft³.

So, the volume of the figure = 2500 + 800 =3300 ft³.

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The Propositions are resulting

(a) ∀x∃y(x = y²) is False

(b) ∀x∃y(x² = y) is True.

(c) ∃x∀y(xy = 0) is True.

(d) ∀x∃y(x + y = 1) is True.

(a) ∀x∃y(x = y²)

This proposition states that for every x, there exists a y such that x is equal to y². To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any positive value for x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4 = 2². Similarly, if x = 9, then y = 3 satisfies the equation since 9 = 3².

Therefore, the proposition (a) is false.

(b) ∀x∃y(x² = y)

For any given positive or negative value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4² = 2. Similarly, if x = -4, then y = -2 satisfies the equation since (-4)² = -2.

Therefore, the proposition (b) is true.

(c) ∃x∀y(xy = 0)

The equation xy = 0 can only be satisfied if x = 0, regardless of the value of y. Therefore, there exists an x (x = 0) that makes the equation true for every y.

Therefore, the proposition (c) is true.

(d) ∀x∃y(x + y = 1)

To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 2, then y = -1 satisfies the equation since 2 + (-1) = 1. Similarly, if x = 0, then y = 1 satisfies the equation since 0 + 1 = 1.

Therefore, the proposition (d) is true.

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Answer:

69.53 or 70(depending on rounding)

Step-by-step explanation:

The squares area is (9*2)^2 which is 324.

The circles area is 9^2 pi or 254.47 approx.

Subtract and you get 69.53 or 70

Total amount of money in the account will be $456.

Simple interest is an interest charge that borrowers pay lenders for a loan. It is calculated using the principal only and does not include compounding interest.

The formula for simple interest is: Simple Interest = Principal × Rate × Time

Principal (P) is $300

Rate (R) is 6.5%

Time (T) is 8 years.

Simple Interest = $300 × 0.065 × 8

Simple Interest = $156

Total Amount = Principal + Simple Interest

Total Amount = $300 + $156

Total Amount = $456.

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We can factor the polynomial 6z² + 6z as follows:

\(6z^2 + 6z = 6z(z + 1)\)

We can use this factorization to express the area of the wall as the product of two factors:

\(6z^2 + 6z = 6z(z + 1) = length × width\)

Therefore, the length of the wall is 6z, and the width of the wall is z + 1.

The lengths of the other two sides of the right triangle are 36 and 85, respectively.

To find the lengths of the other two sides of a right triangle when one leg has a length of 11, we can use the Pythagorean theorem.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Let's denote the lengths of the other leg and the hypotenuse as x and y, respectively.

According to the Pythagorean theorem, we have:

x² + 11² = y²

To find the values of x and y, we need to find a pair of whole numbers that satisfy this equation.

We can start by checking for perfect squares that differ by 121 (11^2). One such pair is 36 and 85.

If we substitute x = 36 and y = 85 into the equation, we have:

36² + 11² = 85²

1296 + 121 = 7225

This equation is true, so the lengths of the other two sides are:

The other leg = 36

The hypotenuse = 85

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2x + 2y must equal 24. 24 - 2x = 2y and 24 - 2y = 2x. Therefore, 12 - y = x. x could be able to add with y to get 12.

example: x = 4, y = 8. (4 + 4 + 8 + 8 = 16 + 8 = 24)

x = 9, y = 3. (9 + 9 + 3 + 3 = 24)

x = 5, y = 7. (5 + 5 + 7 + 7 = 24)

Answer:

\(1\frac{3}{5}\) meter is the difference in depths of locations diver dove.

Step-by-step explanation:

The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).

To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.

1. Find the derivative of the function:

  y' = 3x² - 6x - 9

2. Set the derivative equal to zero and solve for x:

  3x² - 6x - 9 = 0

3. Factorize the quadratic equation:

  3(x² - 2x - 3) = 0

4. Solve the quadratic equation by factoring or using the quadratic formula:

  (x - 3)(x + 1) = 0

  This gives us two possible values for x: x = 3 and x = -1.

5. Substitute these critical points back into the original function to find the corresponding y-values:

  For x = 3:

  y = (3)³ - 3(3)² - 9(3) + 4

    = 27 - 27 - 27 + 4

    = -23

  For x = -1:

  y = (-1)³ - 3(-1)² - 9(-1) + 4

    = -1 - 3 + 9 + 4

    = 9

6. Therefore, the turning points are (3, -23) and (-1, 9).

Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.

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Answer:

a. A hen needs 9,125 grasshoppers per year

b. 3,330,625 grasshoppers are needed for a year's supply of hens for the farmer each year

c. The total mass, in kilograms, of the grasshoppers needed to feed all the hens for one year 3330.625 kg

d. 99918.750 kg of soybeans are needed to feed all the grasshoppers for one year.

Step-by-step explanation:

a. To calculate the number of grasshoppers a hen needs per year.

There are 365 days days in a year.

From the question,  1 hen eats 25 grasshoppers/day

If 1 hen eats 25 grasshoppers per day, then

1 hen will eat 25 × 365 grasshoppers per year

25 × 365 = 9125

Hence, a hen needs 9,125 grasshoppers per year.

b. To determine how many grasshoppers are needed for a year's supply of hens for the farmer each year

From the question, The farmer lives on 1 hen/day for a year.

That is, for a year, the farmer lives on 365 × 1 hen = 365 hens

Now, we will determine how many grasshoppers 365 hens will need for a year.

Since, a hen needs 9,125 grasshoppers per year

Then, 365 hens will need 365 × 9125 grasshoppers per year

365 × 9125 = 3330625 grasshoppers

Hence, 3,330,625 grasshoppers are needed for a year's supply of hens for the farmer each year.

c. To determine the total mass, in kilograms, of the grasshoppers needed to feed all the hens for one year

From the question, 1,000 grasshoppers have a mass of 1 kg.

That is, 1,000 grasshoppers have a mass of 1000 g

(NOTE: 1000g = 1kg)

If 1,000 grasshoppers have a mass of 1000 g

Then, 1 grasshopper will have a mass of (1 × 1000) /1000 = 1 g

From b., the total number of grasshoppers needed to feed all the hens for one year is 3,330,625 grasshoppers.

Now, we will determine the mass of 3,330,625 grasshoppers

1 grasshopper have a mass of 1 g

∴ 3,330,625 grasshoppers will have a mass of (3,330,625 × 1) / 1 = 3,330,625 g

Now, we will convert this to kilograms (kg)

If 1000 g = 1 kg

Then, 3,330,625 g = (3,330,625 × 1) / 1000 = 3330.625 kg

Hence, the total mass, in kilograms, of the grasshoppers needed to feed all the hens for one year 3330.625 kg.

d. To determine how many kilograms of soybeans are needed to feed all the grasshoppers for one year

From the question, 1 grasshopper requires about 30 g of soy/yr

From b., 3,330,625 grasshoppers are needed for a year's supply of hens for the farmer each year

If 1 grasshopper requires about 30 g

Then, 3,330,625 grasshoppers will require (3,330,625 × 30) / 1 = 99918750 g of soy/yr

Now, we will convert this to kilograms

If 1000 g = 1 kg

Then, 99918750g = (99918750 × 1) / 1000 = 99918.750 kg

Hence, 99918.750 kg of soybeans are needed to feed all the grasshoppers for one year.

Answer:

18x - 30

Step-by-step explanation:

in order to expand the expression, you need to use the distributive property to simplify 6(3x - 5).

first, distribute 6 to 3x, which is just 6 • 3x.

now distribute 6 to -5, which is just 6 • -5.

therefore, 6(3x - 5) expanded is 18x - 30 :) i hope this helps!! have a lovely rest of your day <3

Answer:

He rides 2 miles 4/8 or a half an hour

Step-by-step explanation:

Please thank me

Answer:

2 1/2 miles per hour

Step-by-step explanation:

To find the rate, take the distance and divide by the time 5/8 miles÷ 1/4 hour Copy dot flip 5/8 * 4/1 5/2 miles per hour 2 1/2 miles per hour  

Answer:

-4

Step-by-step explanation:

1) Simplify -7 + 3 to -4.

- | -4 |

2) Simplify | -4 | to 4.

-4

Answer:

a) the product of slopes of segment jk and segment j prime k is -1 therefore line f and g are perpendicular

Answer:

The product of the slopes of segment JK and segment J prime K is −1; therefore, lines f and g are perpendicular.

Step-by-step explanation:

Just took the test and its correct!! :)

Respuesta:

200.00.

Exli con i

esunsua ma

Here, I required to determine how much I have.

According to the data in the question;

Therefore, the algebraic sum of all my money results in the amount I have now.

The amount I have now is:

$3.00 + $10.00 + $30.00 + $100.00 + $7.00= $150.

The amount I have now is: $150

The end-points of the line segment will be negative 1.25 and 0.25.

A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.

The length of the line segment is 1.50 units and the midpoint of the line segment is negative 0.50. Then the end-points of the line segment are given as,

⇒ - 0.50 ± (1.50) / 2

Simplify the expression, then we have

⇒ - 0.50 ± (1.50) / 2

⇒ - 0.50 - (1.50) / 2, - 0.50 + (1.50) / 2

⇒ - 0.50 - 0.75, - 0.50 + 0.75

⇒ - 1.25, 0.25

The end-points of the line fragment will be negative 1.25 and 0.25.

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To determine the function that models the data, we need to analyze the relationship between the cost per photo and the number of photos a customer buys. From the given information, we can observe that the cost per photo varies inversely with the number of photos. This implies that as the number of photos increases, the cost per photo decreases, and vice versa.

To model this relationship, we can use the inverse variation equation, which can be expressed as:

y = k/x

Here, y represents the cost per photo, x represents the number of photos, and k is the constant of variation.

Let's examine the data given in the table to find the value of k:

Number of Photos (x) Cost per Photo (y)

10 10

25 4

50 2

100 1

We can see that as the number of photos increases, the cost per photo decreases. We can use any pair of values from the table to solve for k. Let's choose the pair (50, 2):

2 = k/50

Solving for k:

k = 2 * 50 = 100

Now that we have the value of k, we can write the function that models the data:

y = 100/x

Therefore, the function that models the data is y = 100/x, where y represents the cost per photo and x represents the number of photos a customer buys.