Tomatoes cost $0.70 per pound.
2
6
8
Weight (lb)
Price ($)
1.40 2.10

Answer:

1 + 4 = 5

Step-by-step explanation:

The solution to the equations are

0 ∈ N is False               7/2 ∈ Q is True

√16 ∈ Q' is False          π ∈ Q' is True

3/2 ∈ I is False              -3 ∈  R is True

0 ∈ I is True                  -1 ∈ I⁺ is False

( 1 - 3 ) ∈ N is False       8/2 ∈ I is True

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number be represented as A

Now , the equation will be

a)

Let the number be A = 0

The number 0 is a whole number , rational number and an integer

0 is not a natural number

So , the equation is False

b)

Let the number be A = √16

The value of A = 4

The number 4 is a natural number , whole number , rational number and an integer

4 is not an irrational number

So , the equation is False

c)

Let the number be A = 3/2

The number 3/2 is a rational number

3/2 is not an integer

So , the equation is False

d)

Let the number be A = 0

The number 0 is a whole number , rational number and an integer

0 is an integer

So , the equation is True

e)

Let the number be A =  ( 1 - 3 )

The value of A = -2

The number -2 is a rational number and an integer

-2 is not a natural number

So , the equation is False

f)

Let the number be A = 7/2

The number 7/2 is a rational number

7/2 is a rational number

So , the equation is True

g)

Let the number be A = π

The number π  is an irrational number

π is an irrational number

So , the equation is True

h)

Let the number be A = -3

The number -3 is a real number

7/2 is a real number

So , the equation is True

i)

Let the number be A = -1

The number -1 is an integer and real number

-1 is a negative integer

So , the equation is False

j)

Let the number be A = 8/2

The value of A = 4

The number 4 is a natural , whole , integer and rational number

4 is an integer

So , the equation is True

Hence , the equations are solved

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9514 1404 393

Answer:

  B.  ∠A ≅ ∠E

Step-by-step explanation:

The similarity statement tells you the corresponding angles are ...

  ΔCAB ~ ΔCED

  ∠C ≅ ∠C . . . . listed first in the similarity statement

  ∠A ≅ ∠E . . . . listed second in the similarity statement

  ∠B ≅ ∠D . . . . listed third in the similarity statement

The relationship between angles A and E is properly shown in answer choice B.

Answer:

it is

Step-by-step explanation:

cause there are no repeating numbers

Answer:

Yes

Step-by-step explanation:

A function means that the relation between the x and y values are unique. By this statement, it is meant that each x value can only correspond to a single y value.

Hence,

(-6, 5), (-5, 6), (8, 2) is a function.

In graph theory, a dominating set is a subset of vertices in a graph such that every vertex in the graph is either in the dominating set or is adjacent to at least one vertex in the dominating set. A vertex is said to be dominated by another vertex if it is either in the same dominating set or is adjacent to it.

To prove that there exists a dominating set such that every vertex is dominated by an odd number of vertices, we can consider a graph with an even number of vertices. If the graph has an even number of vertices, then it is possible to partition the vertices into pairs such that each pair consists of two vertices that are not adjacent to each other.

For example, consider the following graph with four vertices:

A -- B

\ |

\ |

C -- D

In this graph, we can partition the vertices into the following pairs: (A, C) and (B, D). Both pairs consist of two vertices that are not adjacent to each other.

Now, consider the following two dominating sets:

Both sets consist of one vertex from each pair, and every vertex in the graph is dominated by exactly one vertex in each set. Therefore, every vertex is dominated by an odd number of vertices.

This proof can be generalized to any graph with an even number of vertices by partitioning the vertices into pairs as described above and selecting one vertex from each pair for the dominating set.

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Answer: x = 4.24

Step-by-step explanation:

Use the equation c^2 = a^2 + b^2

c^2 = 3^2 +3^2

c^2 = 9+9

c^2 = 18

c = \(\sqrt{18}\)

c = 4.24

Answer: C is the answer

Answer:

The second answer: {(-1, 4),(2, 7),(3,7)} because every x value has one y value

The relationship between the quantities shown in the table is +10. The values in column 2 (y) are obtained by adding 10 to the corresponding values in column 1 (x).

In the given table, the values in column 1 (labeled "x") are 1, 2, 3, and 4. The values in column 2 (labeled "y") are 11, 22, 33, and 44.

To determine the relationship between the quantities in the table, we can compare the values in column 2 (y) with the corresponding values in column 1 (x).

If we subtract each value in column 1 from the corresponding value in column 2, we find that:

11 - 1 = 10

22 - 2 = 20

33 - 3 = 30

44 - 4 = 40

By observing these results, we can see that the difference between each value in column 2 and its corresponding value in column 1 is always 10.

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When edge D connects with edge X, this net is folded into a cube, which is obtained by folding the given figure in cube.

A cube is a solid shape with six square faces. Each side of a square  has the same side length, so all  faces are the same size.

A cube has 12 sides and 8 vertices. Each vertex refers to the angle where the three edges of the cube meet.

Shape Properties of  Cube  

Thus, when edge D connects with edge X, this net is folded into a cube.

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Answer:  \(\bold{csc\ (-600^o)=\dfrac{2\sqrt3}{3}}\)

Step-by-step explanation:

csc (-600°)

First, find a coterminal angle on the unit circle:

-600 + 360 = -240

                      -240 + 360 = 120

Next, look at the Unit Circle to find the sin (120°)

sin (120°) = √3/2

Lastly, csc is the reciprocal of sin

csc (120°) = 2/√3

Rationalize the denominator to get: (2√3)/3

Trigonometry are expressed as a function of sine, cosine and tangent. The value of the trigonometry identity is 2/√3

Trigonometry are expressed as a function of sine, cosine and tangent.

Given the expression csc(-600°). According to the identity

csc theta = 1/sintheta

csc(-600°) = 1/-sin600

Reduce the angle

csc(-600) = -1/sin240

csc(-600) =  -1/-0.8660
csc(-600) = 2/√3

Hence the value of the trigonometry identity is 2/√3

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Step-by-step explanation:

(a) The lower limit of the 90% confidence interval can be calculated using the formula:

lower limit = sample mean - margin of error

Plugging in the given values, we have:

lower limit = 7.43 - 1.32

lower limit = 6.11 (rounded to 2 decimal places)

Therefore, the lower limit of the 90% confidence interval is approximately 6.11 hours per night.

(b) If 500 random samples like this were selected, and a 90% confidence interval was constructed using each sample, the expected number of intervals that would contain the population mean can be approximated using the margin of error as a guide.

Since the margin of error is 1.32 hours, we can expect roughly 90% of the confidence intervals to contain the true population mean. Therefore, out of 500 samples, we would expect approximately:

500 * 0.9 = 450

So, approximately 450 of these confidence intervals would contain the population mean.

Answer:

4

Step-by-step explanation:

Im  smart and goatified

Answer:4x^2–3>0

Step-by-step explanation:

Answer:

y = -2x + 5

Step-by-step explanation:

Assuming this is linear, the slope would be constant. For every 1 x, y decreases by 2. This means that the slope is -2.

y = -2x + b

Now all we need is the y-intercept.

If we plug in the first point (1,3), we get:

3 = -2*1+b

3 = -2+b

b = 5

This is the y-intercept.

y = -2x + 5

The mean number of workers with a college degree is 40.8, and the standard deviation is 5.37.

The probability that the number of workers with a college degree is at least 35 is 0.976, or 97.6%.

Given Sample size (n) is 120 workers

Proportion of workers who are college graduates (p): 34% or 0.34

a) Mean and Standard Deviation:

The mean (μ) of a binomial distribution is given by μ = np, and the standard deviation (σ) is given by σ =√np(1 - p).

Substituting the values:

μ = 120 ×0.34 = 40.8

σ = √120 × 0.34 × (1 - 0.34)) = 5.37

To find the probability that the number of workers with a college degree is at least 35

we need to calculate the cumulative probability of the binomial distribution from 35 to the maximum possible value, which is 120 in this case.

Using a binomial probability calculator or a statistical software, we can find this probability.

Assuming a binomial distribution with parameters n = 120 and p = 0.34, the probability can be calculated as follows:

P(X ≥ 35) = 1 - P(X < 35)

The probability that the number of workers with a college degree is at least 35 is 0.976, or 97.6%.

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The eigenvalues of the given matrix are approximately -1.8478, 0.8478, and 2, and the corresponding eigenvectors are approximately [-0.577, -0.577, -0.577], [0.6614, -0.6614, 0], and [0.577, 0.577, 0.577].

To find the eigenvalues and eigenvectors of the given matrix:

Let A be the given matrix:

A = [[0, 1, 1],

    [1, 0, 1],

    [1, 1, 0]]

To find the eigenvalues, we need to solve the characteristic equation det(A - λI) = 0, where λ is the eigenvalue and I is the identity matrix.

The characteristic equation becomes:

det([[0-λ, 1, 1],

    [1, 0-λ, 1],

    [1, 1, 0-λ]]) = 0

Expanding the determinant, we have:

-(λ³ - 2λ - 2) = 0

Simplifying, we get:

λ³ - 2λ - 2 = 0

Now we solve this equation to find the eigenvalues:

By analyzing the equation or using numerical methods, we find that the eigenvalues are approximately:

λ₁ ≈ -1.8478

λ₂ ≈ 0.8478

λ₃ ≈ 2

To find the eigenvectors, we substitute each eigenvalue back into the equation (A - λI) * v = 0 and solve for v.

For λ₁ ≈ -1.8478:

(A - λ₁I) * v₁ = 0

Solving this equation, we find the eigenvector v₁ associated with λ₁ as:

v₁ ≈ [-0.577, -0.577, -0.577]

For λ₂ ≈ 0.8478:

(A - λ₂I) * v₂ = 0

Solving this equation, we find the eigenvector v₂ associated with λ₂ as:

v₂ ≈ [0.6614, -0.6614, 0]

For λ₃ ≈ 2:

(A - λ₃I) * v₃ = 0

Solving this equation, we find the eigenvector v₃ associated with λ₃ as:

v₃ ≈ [0.577, 0.577, 0.577]

Therefore, the eigenvalues of the given matrix are approximately -1.8478, 0.8478, and 2, and the corresponding eigenvectors are approximately [-0.577, -0.577, -0.577], [0.6614, -0.6614, 0], and [0.577, 0.577, 0.577].

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The longer dimension of the new garden will be approximately 20.19 meters.

Area is a measure of the amount of space inside a two-dimensional flat surface or shape. It is usually measured in square units, such as square meters, square feet, or square inches. The area of a shape is calculated by multiplying its length by its width. For example, the area of a rectangle can be calculated by multiplying its length and width.

In the given question,

The area of the original garden is:

Area = length x width = 13m x 10m = 130 m²

To increase the area of the garden to 208 m², we need to find the amount by which both the length and width must be increased. Let's call this amount "x".

The new area of the garden will be:

New area = (length + x) x (width + x) = 208 m²

Expanding the brackets, we get:

New area = length x width + length x x + width x x + x²

Substituting the values we know, we get:

208 m² = 130 m² + 13 m x x + 10 m x x + x²

Simplifying, we get:

208 m² = 130 m² + 23 m x x + x²

Rearranging, we get:

0 = x² + 23 m x - 78 m²

Now we can use the quadratic formula to solve for x:

x = (-b ± √(b² - 4ac)) / 2a

Where a = 1, b = 23 m, and c = -78 m². Plugging in these values, we get:

x = (-23 m ± √(23² - 4(1)(-78))) / 2(1)

x = (-23 m ± √(1025)) / 2

We can ignore the negative solution, since x must be a positive length. Simplifying the positive solution, we get:

x = (-23 m + √(1025)) / 2

Therefore, the length (longer dimension) of the new garden will be:

Length = 13 m + x

Length = 13 m + (-23 m + √(1025)) / 2

Length = 3 m + √(1025) / 2

Length = 20.19 m (rounded to two decimal places)

So the longer dimension of the new garden will be approximately 20.19 meters.

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The graph that represents the inequality 5y≤10 is plotted below.

What is an inequality?

In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa.

The given inequality is 5y≤10.

In a graph of an inequality, the symbols (<,>) are represented using a dotted line and the symbols (≤,≥) are represented using a straight line.

So, the graph of inequality 5y≤10 will have a straight line.

Now, writing the inequality 5y≤10 in slope-intercept form y = mx + b -

5y = 10

5y = 0x + 10

Substituting the values of x and y with origin (0,0) -

5(0) = 0(0) + 10

0 = 10

Putting the inequality symbol back -

0 ≤ 10

Since, 0 ≤ 10 is true hence the shaded region of graph will cover the origin.

On solving 5y = 10  -

y = 2

Hence the points of the inequality will be (0,2).

Therefore, the graph for the inequality 5y≤10 is plotted.

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The p value is calculated as 0.116

Null u = 70

alternate u ≠ 70

The alternate is a two tailed test

the test statistic calculation

t = x - u / s/√n

x = 85 + 77 + 82 + 68 + 72 + 69 / 6

= 75.5

standard deviation s = \(\sqrt{\frac{(85- 75.5)^2+(77- 75.5)^2+...(69- 75.5)^2}{6-1} }\)

= 7.01

Test stat = (75.5 - 70) / 7.01/√6

= 1.92

degree of freedom = 6 - 1 = 5

this is 2 tailed

p value using excel = tdist( 1.8, 5 , 2)

= 0.116

We fail to reject the null hypothesis because it is greater than the level of significance

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Answer:

2.36 x 10y = 2360 , y = 100

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

I use my calculator

Press the 2nd button, num-solv, then input the eqaution and got 100 as the answer

The ham will bounce to a height of 0.16 meters  after the impact.

It is the energy that an object possesses by virtue of its position or configuration, or as a result of its composition. The potential energy of an object can be converted into kinetic energy, which is the energy of motion.

initial potential energy of the ham:

PE = mgh

where m is the mass of the ham, g is the acceleration due to gravity, and h is the initial height from which the ham is dropped. Substituting the given values, we get:

PE = (9.25 lbs)× (1 kg/2.205 lbs) × (9.81 m/s²) × (1.45 m) ≈ 61.8 J

At the moment just before the ham hits the ground, all of this potential energy is converted into kinetic energy:

KE = (1/2)mv²

where v is the velocity of the ham just before impact. Substituting the given values, we get:

KE = (1/2) × (9.25 lbs) × (1 kg/2.205 lbs)×(5.33 m/s)²≈ 87.8 J

After the impact, some of this kinetic energy is lost due to the coefficient of restitution, which is the ratio of the velocity after impact to the velocity just before impact:

e = v'/v

where v' is the velocity after impact. Substituting the given values, we get:

0.35 = v'/5.33

Solving for v', we get:

v' ≈ 1.86 m/s

Now, we can use the conservation of energy to find the maximum height to which the ham bounces. At this point, all of the remaining kinetic energy has been converted back into potential energy:

KE = (1/2)mv'² = mgh'

where h' is the maximum height to which the ham bounces. Substituting the given values, we get:

(1/2) × (9.25 lbs) × (1 kg/2.205 lbs) ×(1.86 m/s)² = (9.81 m/s²) ×h'

Solving for h', we get:

h' ≈ 0.16 m

Therefore, the ham will bounce to a height of approximately 0.16 meters (or 16 centimeters) after the impact.

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Step-by-step explanation:

Improper fractions have a numerator that is larger than the denominator

1 = 6/6

 so  1  1/6  = 7/6

Answer:

60

Step-by-step explanation:

12(1^1+2^2)

1*1=1

2*2=4

12*1=12

12*4=48

12+48=60

Answer:

Each aluminium bat costs $7.1 more than wooden bat. PLS GIVE BRAINLIEST PLSSS

Step-by-step explanation:

Aluminium bats:

5 = $98

1 = 98/5

1= $19.6

Wooden bats:

6 = 75

1 = 75/6

1 = $12.5

$19.6 - $12.5

= $7.1

Answer:

g = 2

Step-by-step explanation:

5(2-g) = 0

10 - 5g = 0

-5g = -10

g = -10/-5

  = 2

Answer:

a(A) = 0

Step-by-step explanation:

The value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction) is π/4 radians or 45 degrees.

The value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction) is π/4 radians or 45 degrees.What is inverse sine?

The inverse sine function or arc sine function is the inverse function of the sine function. It is defined as follows:If y = sin x, then x = sin-1 y, where x is the angle whose sine is y.

The range of the inverse sine function is from -π/2 to π/2 radians or from -90 to 90 degrees. It is denoted by sin-1 or arcsin.What is the value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction)?

Given that the value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction) is to be determined.

Using the formula, sin θ = opposite side/hypotenuse= (StartRoot 2) / 2= 0.707The angle whose sine is 0.707 can be found using a calculator or a unit circle.

The inverse sine of 0.707 is π/4 radians or 45 degrees.

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Answer:

∠7

Step-by-step explanation:

∠ 7 is is a corresponding angle with ∠5

Answer:∡7

Step-by-step explanation:Its corresponding angle is ∡7.

Answer:

The number of lunch specials possible is 8.

Step-by-step explanation:

• If there are 2 sandwiches, 2 drinks, and 2 desserts to choose from and the lunch special is a sandwich, drink, and dessert:

• To find out the answer, we are going to say that we have sandwich a & sandwich b, drink a & drink b, and dessert a & dessert b:

1.) Sandwich a:

2.) Sandwich a:

3.) Sandwich a:

4.) Sandwich a:

5.) Sandwich b:

6.) Sandwich b:

7.) Sandwich b:

8.) Sandwich b:

Please mark me the Brainliest!?!

The number of lunch specials possible is 8.

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order.

If there are 2 sandwiches, 2 drinks, and 2 desserts to choose from and the lunch special is a sandwich, drink, and dessert.

The total choices are 3 in that 2 options for every choice are available.

Thus total combination can be made = 2³

total combination can be made = 8

Therefore, the total number of possible lunch specials is 8.

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