Randy and Corey are discussing a lesson they learned in Math. Randy says that "All trapezoids are parallelograms." Corey disagrees. Who do you think is correct, Randy or Corey? Explain why you think Randy or Corey is correct.

Answer:

Step-by-step explanation:

Only the one on the bottom right is a function. It's the only one that does not have 2 of the same x value for a single y value.

Answer:

[tex]\frac{28.5km}{sec}[/tex]

In 10 seconds the earth will travel 288 km

Step-by-step explanation:

[tex]\frac{18miles}{sec}[/tex] x [tex]\frac{1.6km}{1 mile}[/tex] = [tex]\frac{28.8km}{sec}[/tex]

[tex]\frac{28.8km}{sec}[/tex] x [tex]\frac{10sec}{1}[/tex] = 288 km

Helping in the name of Jesus.

Answer:

6h65

Step-by-step explanation:

Add up all the values:

1h+2h+3h= 6

20+40+05= 65

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The range of this function is: (0, 2].

f(x) = bx, where b is a positive integer between 0 and 1, denotes an exponential function. Like in every exponential expression, B and x are referred to as the base and exponent, respectively. An excellent illustration of an exponential function is bacterial proliferation. Some microorganisms reproduce every hour.

As all real numbers are the domain of an exponential function, the following is the domain of this function:

(-∞, ∞)

We must examine the function's behaviour as x gets closer to positive and negative infinity in order to determine the range. The function approaches the horizontal asymptote at y = 2 as x increases to positive infinity. The function gets close to 0, but never quite achieves it as x increases to negative infinity. The scope of this function is as follows:

(0, 2].

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The measure of angle ABC is 40 degrees.

What is inscribed angle theorem ?

The inscribed angle theorem, also known as the central angle theorem, states that an angle inscribed in a circle is half the measure of the central angle that intercepts the same arc, or in other words, the angle that connects the endpoints of the arc.

In other words, if we draw a chord of a circle and an angle with its vertex on the circumference of the circle and its sides passing through the endpoints of the chord, then the measure of the inscribed angle is half the measure of the central angle that subtends the same arc as the inscribed angle.

According to the question:

By the inscribed angle theorem, the measure of an inscribed angle is half the measure of the arc it intercepts.

Since chord AB is congruent to chord CB, we can conclude that angle A is congruent to angle C, because they both intercept the same arc AC. Thus, we have:

angle BAC + angle ABC + angle ACB = 180 degrees (by the angle sum property of triangles

Substituting the measure of arc AC, we get:

angle BAC + angle ABC + 70 degrees = 180 degrees

Simplifying, we get:

angle BAC + angle ABC = 110 degrees

Since angles A and C are congruent, we have:

2 x angle BAC + angle ABC = 180 degrees

Substituting angle BAC + angle ABC = 110 degrees, we get:

2 x 110 degrees - angle ABC = 180 degrees

Solving for angle ABC, we get:

angle ABC = 40 degrees

Therefore, the measure of angle ABC is 40 degrees.

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The perimeter of the pond from the calculation is 5.42 meter

We would first have to find the sides using the angle that we have here

b / 2.42 = sin 74

cross multiply

2.42 x sin 74 = 2.33 meters

h / 2.42 = cos 74

2.42 x cos 74 = 0.67 meters

Given that the sides of the triangle are 2.33 , 2.42 and 0.67 meters

The perimeter would be solved by 2.33 + 2.42 + 0.67

= 5.42 meters

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The estimated value of 2/3 is roughly 0.67, of 1 it is 1 and for 0 it is 0.

What does a estimate mean?

A number given to a demographic parameter that was taken from the a statistical sample. A pricing estimate for the job that needs to be done. 3. an assessment or view of the essence, character, or trait of an object or a person.

What is an illustration of an estimate?

To make computations simpler, an estimate is an approximate estimation of the real value, amount, or quantity.

For 2/3, on dividing we get the value as 0.67.

Since 1 is a number and doesn't need to be rounded or approximated, the guess is 1.

Since it is a number without a fractional component, the approximation of 0 also is 0.

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Based on the information provided, the volume of the pyramid would be  5308.33 cubic centimeters.

The volume or the space occupied by the pyramid can be calculated using the following formula

V=(1/3)Ah

In this formula,  A is the area of the base and h is the height.

Area of the base: 6.5 x 3.5 = 22.75 squared centimeters.

Now, let's calculate the volume:

V = (1/3)*22.75 x 700 cm = 5308.33 cm^3 (Cubic centimeters)

Here 1 meter = 100 cm, then 7 m = 700 cm

Note: This question is incomplete; here is the missing information:

The base of a pyramid is 6.5 cm by 3.5cm and its height is 7m. What is its volume?

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A, B, and E are the consistent with the random samples on preferred school lunches by 100 students.

A random sample is a subset of a larger population that is selected in such a way that each member of the population has an equal chance of being included in the sample. Random sampling is an important tool in statistics and allows researchers to make inferences about the larger population based on the characteristics of the sample.

Random sampling helps to ensure that the sample is representative of the population and that any statistical analysis done on the sample can be generalized to the larger population.

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Answer:The value of angle y is 40°.

Complementary angles are the angles that have their sum equal to 90°.

Therefore, based on the information given, the value of angle y will be calculated thus:

x + y = 90°.

4y - 110° + y = 90°

Collect like terms

4y + y = 90° + 110°

5y = 200°

y = 200/5

y = 40°

The value of angle y is 40°.

Step-by-step explanation:

Answer:

y = 2x - 5

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given m = 2 and point where line crosses y- axis (0, - 5 ) , then c = - 5

y = 2x - 5 ← equation of line

The set of all real numbers between 5 and 9, including 5, can be represented by the set-builder notation {x ∈ ℝ | 5 ≤ x ≤ 9}.

A compact, mathematical notation is used to represent a set of components using set-builder notation. In set-builder notation, we express the attributes or features that the components of the set must have in order to be included in the set. The standard format for set-builder notation is x | P(x), where x is a variable that denotes the set's elements and P(x) is a predicate or condition that lists the characteristics each member must possess in order to be included in the set.

We can represent the set of all real numbers  as:

{x ∈ ℝ | 5 ≤ x ≤ 9}

This notation reads "the set of all x in the real numbers such that x is between 5 and 9, including 5."

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Answer:

which of the following set of nos could not be the length of sides of aright angled triangles.

Answer:

Step-by-step explanation:

2 cups of water.

Answer:

6 pencils

Step-by-step explanation:

120*4=480, 480/80=6

The triangles are cοngruent.

Tο determine whether the twο triangles are cοngruent, similar, οr bοth, we need tο cοmpare their cοrrespοnding sides and angles.

Let's first cοmpare their cοrrespοnding sides:

Triangle 1: sides measure x, x, and 2 units

Triangle 2: sides measure 2 units, x, and x

The sides x and x are the same in bοth triangles, and the side 2 units in triangle 1 cοrrespοnd tο the side 2 units in triangle 2. Hοwever, the οrder οf the sides is different in the twο triangles. We can reοrder the sides in triangle 2 sο that they match the οrder οf the sides in triangle 1:

Triangle 2: sides measure x, x, and 2 units

Nοw we can see that the twο triangles have the same side lengths and are therefοre cοngruent.

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Answer: Buckle up this answer is gonna be a rollercoaster and here we go.

To find f.g, we first need to evaluate g(-4) and then use the result as the input for f(x).

We have:

g(-4) = -(-4)^2 + 2 = -16 + 2 = -14

Now, we use this result as the input for f(x):

f(g(-4)) = f(-14) = -14 - 8 = -22

Therefore, f.g = -22.

What a short ride.

The order of the side lengths of the triangles from the least to the greatest is Lk < JL < IJ < JK < IK.

If the angle facing a side of a triangle increases, then the length of the opposite side may also increase. This is because the larger the angle, the more vertical the opposite side becomes, and therefore the longer it may become.

Conversely, if the angle facing a side of a triangle decreases, then the length of the opposite side may also decrease. This is because the smaller the angle, the less vertical the opposite side becomes, and therefore the shorter it may become.

From the given diagram, the largest side of the triangle will be the side directly opposite the largest angle.

Also, the smallest side of the triangle will be the side directly opposite the smallest angle.

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Answer:

Rational numbers, Real Numbers, Fractions, and Percentages.

The salesperson works 2 hours less on Monday than Wednesday and works 3 hours less on Wednesday than Friday

Given that

Combined hours = x - 2 + x + x - 3

When splitted, we have

Monday = x - 2

Wednesday = x

Friday = x + 3

To determine which statement is true, we need to compare the hours worked on Monday and Wednesday, and the hours worked on Wednesday and Friday.

By comparison, Option 1 is correct

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Answer:

the correct answer is 12

Answer:

12

Step-by-step explanation:

The factors of 70 are 1, 2, 5, 7, 10, 14, 35, and 70.

What is a factor?

A factor is a number that completely divides another number. In other words, if multiplying two whole numbers results in the creation of a product, the numbers we are multiplying are factors of the product because the product is divisible by them.

Multiplication and division are the two techniques for determining factors. Rules of divisibility can also be applied.

The given number is 70.

70 is completely divisible is 1.

70 is completely divisible is 2.

70 is completely divisible is 5.

70 is completely divisible is 7.

70 is completely divisible is 10.

70 is completely divisible is 14.

70 is completely divisible is 35.

70 is completely divisible is 70.

The factors of 70 are 1, 2, 5, 7, 10, 14, 35, and 70.

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Answer:

429

Step-by-step explanation:

Answer:

Para resolver este problema, primero debemos encontrar la cantidad total de raciones que tienen los 50 hombres para 20 días a razón de tres raciones diarias:

50 hombres x 3 raciones por día x 20 días = 3000 raciones

Esto significa que tienen un total de 3000 raciones de alimentos para los 50 hombres durante 20 días.

Luego, podemos calcular la cantidad de raciones diarias después de la disminución en 1/3:

3 raciones diarias - (1/3)(3 raciones diarias) = 2 raciones diarias

Esto significa que cada hombre ahora recibe 2 raciones diarias en lugar de 3.

Después de aumentar el número de hombres en 10, tenemos un total de 60 hombres:

50 hombres + 10 hombres = 60 hombres

Podemos calcular la cantidad total de raciones diarias para los 60 hombres durante los días que durarán las provisiones:

60 hombres x 2 raciones por día = 120 raciones diarias

Finalmente, podemos calcular la cantidad de días que durarán los víveres:

3000 raciones totales / 120 raciones diarias = 25 días

Por lo tanto, los víveres durarán 25 días después de disminuir las raciones en 1/3 y aumentar el número de hombres en 10.

Step-by-step explanation:

Answer:

360 in^2

Step-by-step explanation:

Area of bottom rectangle : A = 7.5 x 17 = 127.5

Area of front rectangle: A = 6 x 17 = 102

Area of back rectangle: A = 4.5 x 17 = 76.5

Area of 2 triangles: 2(4.5 x 6) = 54

Total surface area = 127.5 + 102 + 76.5 + 54 = 360 in^2

The time taken, in hours, for the bacteria to double in size, found using the given function is 26.25 hours.

What is a function?

A relation between a set of inputs and a set of allowable outputs is called a function. It has the property that every input is associated with exactly one output. A function from one set X to another allocates precisely one element of the other set Y to each element of X. Both the set X and the set Y are referred to as the function's domain and codomain, respectively. The basic conception of functions was the relationship between fluctuating quantities and other variables.

The given function is:

[tex]y = y_0e^{(0.0264t)}[/tex]

We are asked to find the time taken for the bacteria to double.

y = a number of bacteria at present time t.

y₀ = initial number of bacteria

When y = 2y₀

The function becomes,

[tex]2y_0 = y_0e^{(0.0264t)}\\\\2 = e^{(0.0264t)}\\\\ln (2) = 0.0264t\\\\0.693 = 0.0264t\\\\t = 26.25[/tex]

Therefore the time taken, in hours, for the bacteria to double in size, found using the given function is 26.25 hours.

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The outcome of getting a sum of 9 when three dice are rolled is that the sum of the three numbers shown on the dice must add up to 9. The sample space for this scenario can be written as S = { (1,3,5), (2,3,4), (2,4,3), (3,2,4), (3,4,2), (4,2,3), (4,3,2), (5,1,3)}

Outcome refers to the result of an action or event. It is the end result of the process and can be positive, negative, or a mix of both. Outcome can also refer to the impact of an event, such as the effect it has on the environment, the people affected, or the economy.

The sample space for this scenario is the set of all possible combinations of three dice that add up to 9.

Each of the elements in this set represents a combination of numbers on the dice that will add up to 9 when rolled. For example, the first element of this set (1,3,5) means that if the three dice are rolled, the numbers shown on the dice will be 1, 3, and 5, and the sum of the numbers will be 9.

When determining the sample space for the outcome of rolling three dice, the order of the numbers does not matter. Therefore, the sets (2,3,4) and (4,2,3) are equivalent, since the sum of the numbers is still 9 regardless of the order.

In conclusion, the outcome of getting a sum of 9 when three dice are rolled is that the sum of the three numbers shown on the dice must add up to 9. The sample space for this scenario is the set of all possible combinations of three dice that add up to 9.

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