Find the perimeter of a triangle with sides of 12 inches, 14 inches, and 16 inches.

a. The answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. The answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

a. To represent 20 longs in base seven, we need to find the fewest number of multibase blocks required.

In base seven, we have the following conversions:

1 long = 1 unit

1 flat = 10 units

1 block = 10 flats

To represent 20 longs, we can use 2 flats (each flat representing 10 units) and 0 units since there are no remaining units.

So, the fewest number of multibase blocks required would be 2 flats.

Therefore, the answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. To represent 10 longs in base three, we need to find the fewest number of multibase blocks required.

In base three, we have the following conversions:

1 long = 1 unit

1 flat = 3 units

1 block = 3 flats

To represent 10 longs, we can use 3 flats (each flat representing 3 units) and 1 unit since there is one remaining unit.

So, the fewest number of multibase blocks required would be 3 flats and 1 unit.

Therefore, the answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

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Answer: 67.5 and 112.5 degrees

Answer:

Cant see the pic

Step-by-step explanation:

Answer:

a = 0.9

Step-by-step explanation:

For the quadratic equation \(\boxed{ax^2 + bx + c = 0}\) to have exactly one real root, the value of its discriminant, \(\boxed{b^2 - 4ac}\), must be zero.

For the given equation:

\(y = ax^2 - 6x + 10\),

• a = a

• b = -6

• c = 10.

Substituting these values into the formula for discriminant, we get:

\((-6)^2 - 4(a)(10) = 0\)

⇒ \(36 - 40a = 0\)

⇒ \(36 = 40a\)

⇒ \(a = \frac{36}{40}\)

⇒ \(a = \bf 0.9\)

Therefore the value of a is 0.9 when the given quadratic has exactly one root.

The term that can be added to the list so that the greatest common factor of the three terms  12h3 36h3, 12h6, is 48h5

A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, 12, 20, and 24 all share two characteristics.

The term that  can fit in to the list so the GCF is 12h3 would be 48h5, this is so because 48 is first divisible by 12  without any  fraction, and we can remove upon dividing 3 h's from this term as it contains a total of 5 h's.

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The matching of items and their corresponding descriptions are 1. Domain, 2.Output, 3. Input, 4. Relation, 5. Function, and 6. Range.

1. Domain - the first element of a relation or function; also known as the input value.

3. Input - the x-value of a function.

6. Range - the second element of a relation or function; also known as the output value.

4. Relation - any set of ordered pairs (x, y) that are able to be graphed on a coordinate plane.

2. Output - a relation in which every input value has exactly one output value.

5. Function - the y-value of a function.

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9514 1404 393

Answer:

  the denominator of each fraction is 2

Step-by-step explanation:

The numerator of a fraction is the number above the fraction bar; the denominator is the number below the fraction bar. In the fraction ...

  \(\dfrac{7}{2}\)

the numerator is 7, and the denominator is 2.

__

Similarly, the number 2 is below the fraction bar and is the denominator in the fraction ...

  \(\dfrac{1}{2}\)

The numerator is 1, and the denominator is 2.

_____

The denominators of both of these fractions are 2. Since they are both the same, that value (2) can be used as the common denominator of the sum or difference of these fractions:

  \(\dfrac{7}{2}+\dfrac{1}{2}=\dfrac{7+1}{2}\qquad\text{or}\qquad\dfrac{7}{2}-\dfrac{1}{2}=\dfrac{7-1}{2}\)

The pair of numbers that yields the maximum product when their sum is 24 is (12, 12), and the maximum product is 144. The corresponding quadratic function is P(x) = -x^2 + 24x, and the parabola opens downwards.

To find a pair of numbers whose sum is 24 and whose product is as large as possible, we can use the concept of maximizing a quadratic function.

Let's denote the two numbers as x and y. We know that x + y = 24. We want to maximize the product xy.

To solve this problem, we can rewrite the equation x + y = 24 as y = 24 - x. Now we can express the product xy in terms of a single variable, x:

P(x) = x(24 - x)

This equation represents a quadratic function. To find the maximum value of the product, we need to determine the vertex of the parabola.

The quadratic function can be rewritten as P(x) = -x^2 + 24x. We recognize that the coefficient of x^2 is negative, which means the parabola opens downwards.

To find the vertex of the parabola, we can use the formula x = -b / (2a), where a = -1 and b = 24. Plugging in these values, we get x = -24 / (2 * -1) = 12.

Substituting the value of x into the equation y = 24 - x, we find y = 24 - 12 = 12.

So the pair of numbers that yields the maximum product is (12, 12). The maximum product is obtained by evaluating the quadratic function at the vertex: P(12) = 12(24 - 12) = 12(12) = 144.

Therefore, the maximum product is 144. This quadratic function has a maximum value because the parabola opens downwards.

To graph the function, you can plot several points and connect them to form a parabolic shape. Here is an uploaded image of the graph of the quadratic function: [Image: Parabola Graph]

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Answer:

5 cans

Step-by-step explanation:

First multiply 15 by 3 to see how many ounces are needed in total: 15x3=45

Then divide 45 by 9 to see the amount of cans: 45/9=5

Answer:

18.85

Step-by-step explanation:

C=2πr=2·π·3≈18.84956

The circumference of this pool is 6π feet.

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle.

Given:

The radius of a small wading pool is 3 feet.

r = 3 feet

And the pool is circular.

So,

circumference of circle = 2πr

Circumference of circle = 2π(3)

Circumference of circle = 6π feet

Therefore, 6π feet is the circumference of the pool.

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Answer:

The experimental probability depends on how many times you're spinning it and theoretical probability is stating what "would" happen if you're only spinning it once. After you get the theoretical probability, you would multiply that percentage by 25 to get the experimental probability percentage.

Step-by-step explanation:

The experimental probability depends on the number of times the experiment is conducted. The result from a theoretical probability is what would happen if the experiment is done once.

Probability determines how likely a stated event would occur. The probability the event occurs is 1 and the probability that the event does not occur is 0. Experimental probability is based on the result of an experiment that has been carried out multiples times

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The data set given is:

6, 7, 11, 14, 20, 30, 35

The median of a data set is the middle value when the numbers are arranged in ascending order.

In ascending order, the numbers are:

6, 7, 11, 14, 20, 30, 35

There are 7 numbers and the middle number is "4th number", which is 14.

The correct answer is 14.

Answer

A

Answer: Inductive reasoning.

Step-by-step explanation:

         This is an example of inductive reasoning. Inductive reasoning means going from a specific observation (these 10 red roses) to a general conclusion ("all roses are red").

Answer:

a

Step-by-step explanation:

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

Step-by-step explanation:

3/4 : 1/8 =

3/4 x 8 =

24/4 =

6

Answer:

True

Step-by-step explanation:

0.15 x 10 = 1.5

Answer: Yes it is.

Step-by-step explanation:

When you times decimals by ten it moves the decimal down.

Answer:C.)

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

450t^2 − 10 = 0

Step-by-step explanation:

Answer:

J

Step-by-step explanation:

Answer:

J is correct

Step-by-step explanation:

It's not H because H starts at 0. At 0 fluid ounces, you will expect 0 millimeters.

The number of different license plates that can be made will be 260⁴.

A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.

A license plate is to have the following form: 4 letters followed by 4 numbers.

We know that the total number of letters will be 26 (A to Z) and the total basic numbers will be 10 (0, 1, ..., 9).

The number of different license plates that can be made will be

⇒ 26 x 26 x 26 x 26 x 10 x 10 x 10 x 10

⇒ 26⁴ x 10⁴

⇒ (26 x 10)⁴

⇒ 260⁴

The number of different license plates that can be made will be 260⁴.

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The vertex is at the point (-2,0)

What is a parabola?

A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves. A parabola can be described using a point and a line.

Here, we have

Given:  y² = -8x

We have to identify the vertex, directrix, focus, and axis of symmetry.

The vertex is at the point (0,0)

The focus is at the point (-2, 0)

The equation of the directrix line is x = 2

x = (-1/8)y²

The y coordinate of the vertex is found using the equation:

y = -b/2a

y = -0/(2×(-1/8))

y = 0

The corresponding x coordinate is found by evaluating the given equation at the y coordinate:

x = 0

The signed distance from the vertex to the focus is found by using the equation:

f = 1/4a

f = 1/4(-1/8)

f = -2

The y coordinate of the focus is found, using the equation:

x = x(v) + f

x = -2

The vertex is at the point (-2,0)

The directrix is a vertical line to the right of the vertex. The equation for the directrix line is found using the equation:

x = x(v) -f

x = 2

Hence, the vertex is at the point (-2,0).

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Answer:

-2

Step-by-step explanation:

To find the slope pick ANY 2 points on the line and see what you had to do to get from one point to another point.

Keep in mind that slope = rise/run , or m = difference in y /difference in x

For example, Start at (0,0) and Go to (6,-3)

To get from one point to the other you have to go up 6 and left 3 so slope is

m=6/-3 = -2

You would show the answer choices for this one. 5/8 x 3/8 is 15/64 or about 0.234375.